Question

what are the solution(s) to the quadratic equation $50 - x^2 = 0$? $x = pm 2sqrt{5}$; $x = pm 6sqrt{3}$; $x = pm 5sqrt{2}$; no real solution

Explanation:

Step1: Isolate $x^2$ term

$x^2 = 50$

Step2: Take square root of both sides

$x = \pm\sqrt{50}$

Step3: Simplify the radical

$\sqrt{50} = \sqrt{25\times2} = 5\sqrt{2}$

Answer:

$x = \pm5\sqrt{2}$