<h3><u>Answer:</u></h3>
x = -3 + 1i and x = -3 - 1i
<h3><u>
Step-by-step explanation:</u></h3>
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 (<em>negative</em>) or D = 36 − 40 = −4 (<em>positive</em>)
Formula: x= −b±√D / 2a
x= −6±√−4 / −2 = −3 ± i [i2=−1]
Therefore, your answer is:
x = -3 + 1i and x = -3 - 1i
(<em>or x = -3 ± 1i</em>)
<em>*the "1" in front isn't necessary but it helps!*</em>
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Hope this helps!
- Shad -