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3 years ago

How to solve an absolute value equation ?

Mathematics

1 answer:

Triss [41]3 years ago

3 0

Step-by-step explanation:

first you need to know

|ax+b| = z

then we got two equation

ax + b = z

ax + b = -z

then solve x ......

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

If the lengths of two sides of a triangle are 2 and 6, the length of the 3rd could be 3, 4, 5, or 8?

soldier1979 [14.2K]

Step-by-step explanation:

3 and 4.

because the sum of the smaller two sides of a triangle have to be less than or equal to the 3rd larger side.

3 0

3 years ago

Read 2 more answers

What is the volume of this container

Schach [20]

First fine the volume of ur big box:

10x10x15
=1500

Then ur small one:

4x4x2
=32

Lastly, subtract the small one from the big one

1500-32
=1468

Ur answer is 1468in^3

6 0

3 years ago

PLEASE HELPPPPP WILL GIVE BRAINLIEST

FinnZ [79.3K]

Answer:

the value of the variable x is 16

Step-by-step explanation:

$given \: expression \\ \frac{5}{8}x = \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x - \frac{1}{2} x = \frac{1}{2} x - \frac{1}{2} x + 2 - \frac{1}{2} x \\ factor \: out \: common \: x \\ x( \frac{5}{8} - \frac{1}{2} ) = \frac{1}{8} \\ simplify \\ \frac{1}{2} x + 2 - \frac{1}{2} x \: \frac{1}{2} x - \frac{1}{2} x = 0 = 2 \\ \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.$

6 0

1 year ago

Marty Moses purchased a two year membership at a local fitness center. He paid $475. What will be his cost per visit if he uses

maw [93]

52 weeks = 1 year
104 weeks = 2 years

Once: 475/104 = $4.57 per visit
Twice: 475/104x2 = $2.28 per visit
Five Times: 475/104x5 = $0.91

8 0

3 years ago

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