Question

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

A.x = +2V5
B.x = +63
C.x = +5V2
D.no real solution
Please help hurry :/

Answer 1

If you have to choose an alternative, it is C.
`x=5√(2)` is one of the solutions/roots of the quadratic equation, but the correct answer is actually
`x= \pm 5√(2)`.

Explanation:

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

`x= \pm √(50)`

Once
`√(50) =√(2\cdot5\cdot 5)= 5√(2)`

`x= \pm 5√(2)`

Answer 2

±5 sqrt(2) =x

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