Question

What are the solution(s) to the quadratic equation 50 – x2 = 0?

Answer 1

Answer:

No real solution

Step-by-step explanation:

There is no perfect squares in 50

Answer 2

ANSWER

$x = \pm5\sqrt{2}$

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:

$x = \pm \sqrt{50}$

We simplify further to remove the perfect square.

$x = \pm \sqrt{25 \times 2}$

$x = \pm \sqrt{25} \times \sqrt{2}$

$x = \pm5\sqrt{2}$