Question

what are the solution(s) of the quadratic equation $98 - x^2 = 0$?
$x = \pm 2\sqrt{7}$
$x = \pm 6\sqrt{3}$
$x = \pm 7\sqrt{2}$
no real solution

Explanation:

Step1: Rearrange the equation

$98 - x^2 = 0 \implies x^2 = 98$

Step2: Simplify the square root

$x = \pm\sqrt{98} = \pm\sqrt{49\times2} = \pm7\sqrt{2}$

Answer:

$x = \pm7\sqrt{2}$