Select TWO possible values for x in the equation x2=45.

Question

asked Oct 10, 2021 66.0k views

1 Answer

Maurits Van Beusekom · Answer 1 · 2021-10-16T22:20:57+0000

Answer:

$3 \sqrt 5}$ and
$-3 \sqrt 5}$

Explanation:

Given

x^2 = 45

Required

Determine the values of x

x^2 = 45

Take square root of both sides

$√(x^2) = \±√(45)$

$x = \±√(45)$

Expand 45 as 9 * 5

$x = \±√(9 * 5)$

Split the square root

$x = \±(√(9) *\sqrt 5}$

$x = \±3 *\sqrt 5}$

$x = \±3 \sqrt 5}$

This can be further split to:

$x = 3 \sqrt 5}$ or
$x = -3 \sqrt 5}$

Hence, the possible values of x are

$3 \sqrt 5}$ and
$-3 \sqrt 5}$