Question

Solve the following quadratic equation for all values of xx in simplest form.
3, left parenthesis, x, squared, minus, 7, right parenthesis, plus, 4, equals, 4
3(x
2
−7)+4=
4

Answer 1

Start with
3(x^2 − 7) + 4 = 4.

Subtract 4 from both sides:
3(x^2 − 7) = 0.

Divide by 3:
x^2 − 7 = 0 → x^2 = 7.

Take square roots:
x = ±√7.