Question

What are the solution(s) of the quadratic equation 98 - x2 = 0?

Answer 1

Answer:

±7 sqrt(2) = x

Step-by-step explanation:

98 - x^2 = 0

Add x^2 to each side

98 =x^2

Take the square root of each side

±sqrt(98) = sqrt(x^2)

±sqrt(49*2) = x

±7 sqrt(2) = x

Answer 2

Answer:

$\huge \boxed{{x = \pm 7\sqrt{2} }}$

Step-by-step explanation:

$98-x^2 =0$

$\sf Add \ x^2 \ to \ both \ sides.$

$98=x^2$

$\sf Take \ the \ square \ root \ of \ both \ sides.$

$\pm \sqrt{98} =x$

$\sf Simplify \ radical.$

$\pm \sqrt{49} \sqrt{2} =x$

$\pm 7\sqrt{2} =x$

$\sf Switch \ sides.$

$x= \pm 7\sqrt{2}$