Question

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

Answer 1

Start with the equation:
2(x^2 − 7) + 3 = −3

Expand and simplify:
2x^2 − 14 + 3 = −3
2x^2 − 11 = −3
2x^2 − 8 = 0
x^2 − 4 = 0

Factor:
(x − 2)(x + 2) = 0

So x = 2 or x = −2.