What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution

Question

asked Sep 8, 2020 38.1k views

2 Answers

LucaM · Answer 1 · 2020-09-11T20:30:09+0000

ANSWER

$x = \pm5√(2)$

EXPLANATION

The given equation is:

$50 - {x}^(2) = 0$

Group the constant term to get:

$- {x}^(2) = 0 - 50$

$- {x}^(2)=- 50$

${x}^(2)=50$

Take square root to get:

$x = \pm √(50)$

We simplify further to remove the perfect square.

$x = \pm √(25 * 2)$

$x = \pm √(25) * √(2)$

$x = \pm5√(2)$