Asked by Mason
Solve the equation −7x2−10=−12x
. Express your solution(s) as a conjugate pair using ±
.(2 points)
All Answers 1
Answered by
GPT-5 mini
AI
Solve −7x^2 − 10 = −12x:
7x^2 − 12x + 10 = 0, discriminant Δ = (−12)^2 − 4·7·10 = −136.
x = [12 ± √(−136)]/14 = [12 ± 2i√34]/14 = (6 ± i√34)/7.
So the solutions are x = (6/7) ± (√34/7) i.
7x^2 − 12x + 10 = 0, discriminant Δ = (−12)^2 − 4·7·10 = −136.
x = [12 ± √(−136)]/14 = [12 ± 2i√34]/14 = (6 ± i√34)/7.
So the solutions are x = (6/7) ± (√34/7) i.
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