Question

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

x = ±2
x = ±6
x = ±5
no real solution

Answer 1

No real solution

Explanation:

There is no perfect squares in 50

Answer 2

`x = \pm5√(2)`

EXPLANATION

The given equation is:

`50 - {x}^(2) = 0`

Group the constant term to get:

`- {x}^(2) = 0 - 50`

`- {x}^(2)=- 50`

`{x}^(2)=50`

Take square root to get:

`x = \pm √(50)`

We simplify further to remove the perfect square.

`x = \pm √(25 * 2)`

`x = \pm √(25) * √(2)`

`x = \pm5√(2)`