Question

Solve the following quadratic equation for all values of xx in simplest form.
5, left parenthesis, x, squared, minus, 8, right parenthesis, minus, 5, equals, 5
5(x
2
−8)−5=
5

Answer 1

Start with
5(x^2 − 8) − 5 = 5.

Simplify:
5x^2 − 40 − 5 = 5
5x^2 − 45 = 5
5x^2 = 50
x^2 = 10

So x = ±√10.