Question

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

x = ±2
x = ±6
x = ±5
no real solution

Answer 1

x = ±
`5√(2)`

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) }=√(50)\\x=+/-√(50)`

Therefore, x = ±
`5√(2)`