Question

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

Answer 1

Answer:

±5 sqrt(2) =x

Step-by-step explanation:

50 – x^2 = 0

Add x^2 to each side

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2) = x

±sqrt(25)sqrt(2)=x

±5 sqrt(2) =x

Answer 2

Answer:

If you have to choose an alternative, it is C. $x=5\sqrt{2}$ is one of the solutions/roots of the quadratic equation, but the correct answer is actually $x= \pm 5\sqrt{2}$.

Step-by-step explanation:

$50-x^2 = 0 \Rightarrow x^2=50$

$x= \pm \sqrt{50}$

Once $\sqrt{50} =\sqrt{2\cdot5\cdot 5}= 5\sqrt{2}$

$x= \pm 5\sqrt{2}$