Question

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

Answer 1

Answer:

x = ±$5\sqrt{2}$

Step-by-step explanation:

We have been given the quadratic equation;

$50-x^{2}=0$

The first step is to subtract 50 from both sides of the equation;

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

$-x^{2}=-50$

Multiplying both sides by -1 yields;

$x^{2}=50$

The final step is to obtain square roots on both sides;

$\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}$

Therefore, x = ±$5\sqrt{2}$