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Mathematics

Grade10

Easy

Question

Find the solutions of equation $x squared equals 45$ .

$x = + 3 \sqrt 5, x = - 3 \sqrt 5$
$x = + 5 \sqrt 3, x = - 3 \sqrt 5$
$x = + 3 \sqrt 5, x = - 5 \sqrt 5$
$x = + 5 \sqrt 5, x = - 3 \sqrt 3$

The correct answer is: $x equals space plus 3 √ 5 comma x equals space minus space 3 √ 5$

$x squared equals 45$
Taking square root on both the sides of the equation, we get
$√ left parenthesis x squared right parenthesis equals plus-or-minus √ 45$
$x equals plus-or-minus √ 5 space √ 9$
$x equals plus-or-minus 3 √ 5$

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