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Mathematics

Grade10

Easy

Question

Find the solution of quadratic equation $5 x squared plus 13 equals 23$ using square roots

$x = \pm \sqrt 13$
$x = \pm \sqrt (13 / 2)$
$x = \pm \sqrt 2$
$x = \pm \sqrt (5 / 3)$

The correct answer is: $x equals plus-or-minus √ 2$

$5 x squared plus 13 equals 23$
Subtracting 13 on both the sides,
$5 x squared plus 13 minus 13 equals 23 minus 13$
$5 x squared equals 23 minus 13$
$5 x squared equals 10$
$x squared equals 10 divided by 5$
$x squared equals 2$
Taking square root on both the sides of the equation, we get
$√ left parenthesis x squared right parenthesis equals plus-or-minus √ 2$
$x equals plus-or-minus √ 2$

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