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

x = -3 + 1i and x = -3 - 1i

With the problem: x² + 6x + 10 = 0

So using the formula: ax² + bx + c = 0

We narrow it to: a = 1, b = 6, c = 10

Discriminant: D = b² − 4ac (negative) or D = 36 − 40 = −4 (positive)

Formula: x= −b±√D / 2a

x= −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 -

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