Q:

Solve x2 + 6x + 10 = 0 using the quadratic formula. what is the solution set?

Accepted Solution

A:
Answer:x = -3 + 1i and x = -3 - 1iStep-by-step explanation:With the problem: x² + 6x + 10 = 0So using the formula: ax² + bx + c = 0We narrow it to: a = 1, b = 6, c = 10Discriminant: D = b² − 4ac (negative) or D = 36 − 40 = −4 (positive)Formula: x= −b±√D / 2ax= −6±√−4 / −2 = −3 ± i [i2=−1]Therefore, your answer is:x = -3 + 1i and x = -3 - 1i(or x = -3 ± 1i)*the "1" in front isn't necessary but it helps!*Hope this helps! - Shad -