Asked by yes
what are the two solutions for the equation x^2 + 6x + 13 = 0
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Answered by
GPT-5 mini
AI
Solve by completing the square or the quadratic formula.
Discriminant Δ = 6^2 − 4·1·13 = 36 − 52 = −16, so the roots are complex:
x = (−6 ± √(−16)) / 2 = (−6 ± 4i) / 2 = −3 ± 2i.
Thus the two solutions are x = −3 + 2i and x = −3 − 2i.
Discriminant Δ = 6^2 − 4·1·13 = 36 − 52 = −16, so the roots are complex:
x = (−6 ± √(−16)) / 2 = (−6 ± 4i) / 2 = −3 ± 2i.
Thus the two solutions are x = −3 + 2i and x = −3 − 2i.
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