x^2 - 3 = 1

Please help me with this I need a answer and explanation so I can do this on my own asap!

X^2 - 3 = 1 Please Help Me With This I Need A Answer And Explanation So I Can Do This On My Own Asap!

Answers

Answer 1

Answer:

x=2

x=-2

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2-3-(1)=0

1.1      Factoring:  x2-4

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check :  x2  is the square of  x1

Factorization is :       (x + 2)  •  (x - 2)

Equation at the end of step

1

:

 (x + 2) • (x - 2)  = 0

STEP

2

:

Theory - Roots of a product

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+2 = 0

Subtract  2  from both sides of the equation :

                     x = -2

Solving a Single Variable Equation:

2.3      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2


Related Questions

5. Find all the two-digit numbers which are increased by 75% when their digits are reversed.

Answers

Answer:

Let a two digit number be, 10x + y.

75% of the number is,

= 75 % of (10 x + y)

= 75/100 × (10x+y)

= 3/4 × ( 10x + y)

According to the question, When increased by 75%, The digits must be reversed.

So,

(10 x + y) + 3/4 ( 10x + y) = 10y + x

4 (10x + y) + 3 ( 10x + y) = 4 ( 10y + x)

7(10x + y) = 4(10y + x)

70x + 7y = 40y + 4x

70x - 4x = 40 y - 7y

66x = 33y

2x = y

So,

x = 1, y = 2, 10x + y = 12

x = 2, y = 4, 10x + y = 24

x = 3, y = 6, 10x + y = 36

x = 4 , y = 8 , 10x + y = 48

x can't be 5, as y will be 10 ( y should be a single digit).

Therefore, 4 two digit numbers are possible.

hi I need help with this question

Answers

Answer:

x=49 exactly but a i forgot how to get range sry

Step-by-step explanation:

Simplify 6 plus the square root of negative 80.

Answers

The given statement can be written as:

6+√-80

To solve √-80 re-write -80 as -1 * 80

Now √-80 =√-1 * 80

Now we can write it as:

6+ √-1 * √80

We know that √-1 = i

Thus it becomes:

6+ i√80

Now find the square root of 80

80 does not have a perfect square root

Its square root can be found as 80 = 4*4*5

Then,

6+i√4*4*5

Notice that 4 makes a pair.. So we will write it outside the square root

6+1*4√5

We will write it as:

6+4i√5

Thus the correct option is 6 plus 4 i times the square root of 5....

Which pair of expressions has the same value?
A. (–2)(–7) and 4 + (–18)
B. (2)(7) and 4 + 18
C. (–2)(7) and 18 + (–4)
D. (2)(–7) and 4 – 18

Answers

Option A)

Assuming that (-2)(-7) and 4 + (-18) are equal.

⇒ (-2)(-7) = 4 + (-18)

Using the property [-x × -y = x × y = xy]:

⇒ (-2)(-7) = 4 + (-18) ⇒ (2)(7) = 4 + (-18)

Using the property [x + (-a) = x - a]:

⇒ (2)(7) = 4 + (-18)⇒ (2)(7) = 4 - 18⇒ 14 = -14    (False)Option B)

Assuming that (2)(7) and 4 + 18 are equal.

⇒ (2)(7) = 4 + 18⇒ 14 = 22   (False)

Option C)

Assuming that (–2)(7) and 18 + (–4) are equal.

⇒ (-2)(7) = 18 + (-4)

Using the property [-x × y = -xy]:

⇒ (-2)(7) = 18 + (-4)⇒ (-)(2)(7) = 18 + (-4)⇒ -14 = 18 + (-4)

Using the property [x + (-a) = x - a]:

⇒ -14 = 18 + (-4)⇒ -14 = 18 - 4⇒ -14 = 14   (False)

Option D)

Assuming that (2)(-7) and 4 - 18 are equal.

⇒ (2)(-7) = 4 - 18

Using the property [-x × y = -xy]:

⇒ (-)(2)(7) = 4 - 18⇒ -14 = 4 - 18⇒ -14 = -14   (True)

Therefore, Option D is correct.

NEEED HELPPPP TRYING NOT TO FAIL MATHH !!

Answers

the answer is C hope it helped

Please explain, I don't know how to solve.​

Answers

it's base× height (same as a rectangle:

4×5=20

the triangle, 3, and right angle are there just to confuse you :)

can you find the area and perimeter A=, P=??

Answers

area: 37.74 yds

you get this by multiplying the length and width

perimeter: 25 yds

you get this by adding up the length of each side

f(x) = |x − 5| + 2 Which of the following statements about the y-values of the graph of the function is true?

Answers

The answer will be option B. The y-values are all greater than or equal to 2.

What is a function?

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.

Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.

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Simplify the expression. Write your answer as a power.
(-6.4)⁸
(-6.4)⁶
The simplified expression is

Answers

The expression [tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex] is an exponential expression and the value of the expression is 40.96

How to evaluate the expression?

The expression is given as:

[tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex]

Expand the expression by applying the law of indices

[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^{8-6}[/tex]

Evaluate the difference

[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^2[/tex]

Evaluate the exponent

[tex]\frac{(-6.4)^8}{(-6.4)^6} = 40.96[/tex]

Hence, the value of the expression is 40.96

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Can anyone please help me IM not sure if the first one is correct

Answers

Answer:

you are correct keep up the good work.

Answer:

The 1st one is correct and the second one is (5, -3)

Step-by-step explanation:

For the 1st question this is what I did:

d=√(x^2−x^1)^2+(y^2−y^1)^2

d=(0−4)^2+(6−3)^2

√d=(−4)^2+(3)^2

√d=16+9

√d=25

√d=5

For the second question I did this:

(xM,yM)=(x1+x2/2,y1+y2/2)

M=(xM,yM)

M=(x1+x2/2,y1+y2/2)

M=(3+7/2,−1+−5/2)

M=(10/2,−6/2)

M=(5,−3)

Hope this helps!

Which ordered pair is a solution to the equation? y = 4x + 15 (15,0) 0 (7.-2) (-1,4) (-3, 3)​

Answers

Always solve for the bracket first

Can someone explain this?

Answers

Answer:

see the attachment!

i hope this can help you.

In the circus, a lion has been trained to jump through a ring of fire that has a radius of 1 meter. What is the ring's circumference?

Answers

A circle is a curve sketched out by a point moving in a plane. The circumference of the ring of fire is 6.2831 meters.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The circumference of the ring if the radius is 1 meter is,

Circumference of the ring = 2πr = 2 × π × 1 = 6.2831 meters

Hence, the circumference of the ring of fire is 6.2831 meters.

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Solve for x????????????????????

Answers

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Concept }}}[/tex]

➣ Given two paris are linear pairs➣ We know that sum of linear pairs is equal to 180⁰➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

[tex] \large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}[/tex]

➣ let given two angles be p and q that is ➣ angle p is 3x-4➣ angle q is 3x-8➣ we have to find "x" in the given expressions

[tex] \large\underline{ \boxed{ \sf{✰\: let's\:solve }}}[/tex]

[tex] \rm\angle \: p + \angle \: q = 180 \degree \\ [/tex]

★ Substituting values

[tex] \rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}[/tex]

[tex] \qquad \qquad\rm { \pink➾6x = 192} \\ \qquad\qquad\rm { \pink➾ \: x = \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}[/tex]

★ Hence the value

[tex] \boxed{↪\underline{ \boxed{ \rm{\: x = 32\green✓}}}↩}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

How many yards are equivalent to 38 feet? 1 yard = 3 feet

Answers

Answer:

13 yards

Step-by-step explanation:

38/3 => 12.6667 yards which would be closest to 13 yards

The formula is to divide the lenght value by 3.

The number 38 feet is equal to 12.67 yards.

We have to give that,

To change 38 feet into yards.

Since we know that,

1 yard = 3 feet

1 feet = 1/3 yards

Hence, change 38 feet into yards as,

1 feet = 1/3 yards

38 feet = 38/3 yards

38 feet = 12.67 yards

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Which of these intersections of a plane and a three dimensional figure result in a triangular cross section

Answers

Answer:

top right one

Step-by-step explanation:

Top left one makes a square

bottom left one makes a circle

top right one makes a triangle

bottom right one makes a circle

The intersection of a plane and a three-dimensional figure results in a triangular cross-section is a triangular pyramid.

What is a cross-section?

A solid's cross-section is a plane figure formed when the solid intersects another plane. As a result, the cross-section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented. A sphere's cross-section is always a disk, although a cube's cross-section can be square, hexagonal, or another shape.

In these types of three-dimensional geometrical problems imagination of the figures is very crucial.

Now, Think of the plane as a very very thin sheet cutting a triangular pyramid parallel to its base will have exactly the same cross-section as its base and we know a triangular pyramid has a triangular base.

learn more about cross-sections here :

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GIVING THREE BRAINLIEST PLS HURRY

A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings

Answers

Answer:

opposite meanings

Step-by-step explanation:

An antonym is a word that means the opposite of another word

what is the measure of MOP Angle MON is a straight angle and OP bisects MOQ

Answers

The measure of the angle MOP is 61° (Third option)

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Angle MON is a straight angle → ∠MON=180°

∠QON=58° (according to the graph)

OP bisects angle ∠MOQ, then OP divides angle ∠MOQ into two equal angles:

∠MOP=∠POQ=∠MOQ/2  (1)

∠MOQ+∠QON=∠MON

Replacing the known values in the equation above:

∠MOQ+58°=180°

Solving for ∠MOQ: Subtracting 58° on both sides of the equation

∠MOQ+58°-58°=180°-58°

∠MOQ=122°

Replacing ∠MOQ by 122° in the equation (1)

(1) ∠MOP=∠POQ=122°/2

∠MOP=∠POQ=61°

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Using the data set below, find the mean absolute deviation (MAD).
Find the distance of each data value from the mean by subtracting the mean from the data value.
Step 2: Find the absolute values of all the distances. These are the "absolute deviations."
Step 3: Find the average of the absolute deviations.

Answers

I think you need to add a picture in order for anyone to solve it..

This number line models the division problem ​1/3÷6​ . What is the quotient? Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer: 1/200

Step-by-step explanation:

1/6 divided  by 6 is equal to 0.05555555555 Which is equal to about 1/200

Please answer fast and give expaination I will give brainliest

Answers

Answer:

Agree.

Step-by-step explanation:

1. (5^r)^t can be represented simply as 5^rt.

2. when r as negative integer, t as positive integer, rt is always a negative integer

3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.

on a coordinate plane what is the distance between the point at (4,7) and the point (-4,7)

Answers

Answer: 8 units

Step-by-step explanation:

  We will use the distance formula.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(-4-4)^2 +(7-7)^2}[/tex]

[tex]\displaystyle d=\sqrt{(-8)^2 +(0)^2}[/tex]

[tex]\displaystyle d=\sqrt{64[/tex]

d = 8

-5x + 2y = -29
5x - 2y = 24

Answers

Answer:

-10x + 4y = -53

Step-by-step explanation:

-5x+2y = -29

5x - 2y = 24

subtract both values from up to down

-5x - 5x = -10x

2y - (-2y) = 4y

-29 - 24 = -53

-10x + 4y = -53

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.

A student used the steps below to find each person’s age.

Step 1 Write an equation, letting x represent Kareem’s age:
(x + 3) + x + 2 x = 33
Step 2 Solve the equation:
(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 and one-half.
Step 3 Sadie is 10 and one-half, Kareem is 7 and one-half, and Nadra is 3 and three-fourths.

Which corrects the student’s first error?

Answers

Answer:

Step 1-Write an equation, letting x represent Kareem’s age:

(x + 3) + x + 2 x = 33

Step 2-Solve the equation:

(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.

Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.

Which corrects the student’s first error?

1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.

2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.

3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.

4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.

Which expression is equivalent to square root 36/25

Answers

Answer:

6/5

Step-by-step explanation:

hope this helps

Pete entered a lucky draw. The probability of winning a free ticket for a soccer game is 15%. What are the ODDS AGAINST winning a free ticket to the soccer game?
3 to 17
17 to 3
3 to 20
17 to 20

Answers

Answer:

3 to 20

Step-by-step explanation:

find the value of the missing variables. please help
x=
y=

Answers

Answer:

X= 11

Y= 22

Step-by-step explanation:

How to find Y ?

sin 60° = 11√3/ Y

√3/2 = 11√3/Y

Y= 22

How to find X ?

cos 60° = x/22

1/2 = x/22

2x = 22

x = 11

Find the remainder when x3-4x2-7x+10 is divided by x+2

Answers

Answer:

Remainder is 0

Hope this helps

An airplane flight has 207 seats. the probability that a person who buys a ticket actually goes on that flight is about 90%. if the airline wants to fill all the seats on the flight, how many tickets should it sell?

Answers

Answer:

230 tickets

Step-by-step explanation:

Create a proportion using the given information:

Let's set x equal to the number of tickets that need to be sold.

[tex]\frac{207}{90} =\frac{x}{100}[/tex]

Cross multiply and you get:

[tex]90x=20700\\[/tex]

Then divide both sides by 90 to get:

[tex]x = 230[/tex]

This means that 230 tickets need to be sold in order to fill all of the seats on the flight.

can someone help me with this?
Thank you!

Answers

i think this is correct but i’m so sorry if it’s wrong.
so the scale factor is 12/4=3
so the perimeter is 16*3=48
hope this helps:)
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