Question

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

Answer 1

Solve 3(x^2 − 7) − 4 = −7.

3x^2 − 21 − 4 = −7
3x^2 − 25 = −7
3x^2 − 18 = 0
3x^2 = 18
x^2 = 6
x = ±√6

Answer: x = √6 or x = −√6.