High School

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Find the solutions to the equation below. Check all that apply.

[tex]25x^2 - 100 = 0[/tex]

A. [tex]x = 25[/tex]
B. [tex]x = -2[/tex]
C. [tex]x = 100[/tex]
D. [tex]x = -10[/tex]

Answer :

To solve the equation [tex]\( 25x^2 - 100 = 0 \)[/tex], we can follow these steps:

1. Add 100 to both sides of the equation to eliminate the constant term on the left side:
[tex]\[
25x^2 = 100
\][/tex]

2. Divide both sides by 25 to isolate [tex]\( x^2 \)[/tex]:
[tex]\[
x^2 = 4
\][/tex]

3. Take the square root of both sides to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \pm \sqrt{4}
\][/tex]

4. Calculate the square root of 4 to find the possible solutions for [tex]\( x \)[/tex]:
[tex]\[
x = \pm 2
\][/tex]

Thus, the solutions to the equation are [tex]\( x = 2 \)[/tex] and [tex]\( x = -2 \)[/tex].

Looking at the provided options:
- A. [tex]\( x = 25 \)[/tex] is not a solution.
- B. [tex]\( x = -2 \)[/tex] is a solution.
- C. [tex]\( x = 100 \)[/tex] is not a solution.
- D. [tex]\( x = -10 \)[/tex] is not a solution.

The correct answer is B. [tex]\( x = -2 \)[/tex].

Thanks for taking the time to read Find the solutions to the equation below Check all that apply tex 25x 2 100 0 tex A tex x 25 tex B tex x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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