Back to Basics

Algebra Level 2

A: $\large x^2 = 25 \implies x = 5$ and $\large \sqrt{25} = \pm 5$

B: $\large x^2 = 25 \implies x = \pm 5$ and $\large \sqrt{25} = \pm 5$

C: $\large x^2 = 25 \implies x = 5$ and $\large \sqrt{25} = 5$

D: $\large x^2 = 25 \implies x = \pm 5$ and $\large \sqrt{25} = 5$

Which of the above Statement is True ?

B All are Incorrect C D A

1 solution

Blan Morrison
May 15, 2018

Consider the equation:

$25=x^2$

This is NOT the same thing as

$\sqrt{25}=x$

This is because $x$ is positive and negative ( $\pm$ ) 5. $\sqrt{25}$ is equal to just five, because there is no $\pm$ at the beginning of it.

@Blan Morrison so you mean to say that $\sqrt {\pm25} = \pm 5$

Ravneet Singh - 3 years ago

No, but rather $\pm\sqrt{25}=\pm5$ . I'm sure that's what you meant, though.

Blan Morrison - 3 years ago

Ravneet Singh - 3 years ago