Question

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

x = ±2Plus or minus 2 StartRoot 5 EndRoot
x = ±6Plus or minus 6 StartRoot 3 EndRoot
x = ±5Plus or minus 5 StartRoot 2 EndRoot
no real solution

Answer 1

Solve 50 − x^2 = 0:
x^2 = 50 → x = ±√50 = ±√(25·2) = ±5√2.

So the solutions are x = ±5√2 (the third choice).