Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

a^2-2a-224=0

Answer 1

{-14, 16}

Explanation:

The coefficients of this quadratic are a = 1, b = -2 and c = -224.

Thus, the discriminant is b^2 - 4ac, or (-2)^2 - 4(1)(-224), or 900, whose square root is 30.

Thus, the roots (solutions) are

-(-2) ± 30

x = ----------------- = {-14, 16}

2