Question

Use the square root method to find the solutions to the quadratic equation 22

- 80.
Write your answers separated by a comma. Make sure to simplify.

Answer 1

`x = 2√(2), -2√(2)`

Explanation:

Given

`x^2 - 8 = 0`

Required

Solve

We have:

`x^2 - 8 = 0`

Add 8 to both sides

`x^2 = 8`

Take square roots of both sides

`x = \±√(8)`

Expand

`x = \±√(4*2)`

This gives:

`x = \±2√(2)`

Split

`x = 2√(2), -2√(2)`