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Mathematics

Grade10

Easy

Question

Find the solution of quadratic equation $7 x squared plus 15 equals 50$ using square roots

$x = \pm \sqrt 13$
$x = \pm \sqrt (13 / 2)$
$x = \pm \sqrt (65 / 7)$
$x = \pm \sqrt 5$

The correct answer is: $x equals plus-or-minus √ 5$

$7 x squared plus 15 equals 50$
Subtracting 15 on both the sides,
$7 x squared plus 15 minus 15 equals 50 minus 15$
$7 x squared equals 35$
$x squared equals 35 divided by 7$
$x squared equals 5$
Taking square root on both the sides of the equation, we get
$√ left parenthesis x squared right parenthesis equals plus-or-minus √ 5$
$x equals plus-or-minus √ 5$

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