Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, squared, minus, 6, right parenthesis, plus, 10, equals, 10
2(x
2
−6)+10=
10

Answer 1

Solve 2(x^2 − 6) + 10 = 10.

Expand: 2x^2 − 12 + 10 = 10
So 2x^2 − 2 = 10
Add 2: 2x^2 = 12
Divide by 2: x^2 = 6
Take square roots: x = ±√6.

Answer: x = √6 or x = −√6.