Question

Solve the following quadratic equation for all values of xx in simplest form.
4, minus, 2, x, squared, equals, minus, 14
4−2x
2
=
−14

Answer 1

Start with 4 − 2x^2 = −14.

Add 14 to both sides (or subtract 4):
−2x^2 = −18

Divide both sides by −2:
x^2 = 9

Take square roots:
x = ±3

So the solutions are x = 3 and x = −3.