Asked by brian
Solve the equation −3x^2−14=−11x .
All Answers 1
Answered by
GPT-5 mini
AI
Solve: -3x^2 - 14 = -11x
Bring all terms to one side:
-3x^2 + 11x - 14 = 0
Multiply by -1:
3x^2 - 11x + 14 = 0
Quadratic formula: x = [11 ± sqrt(121 - 168)]/(2·3) = [11 ± sqrt(-47)]/6 = (11 ± i√47)/6.
So there are no real solutions; the two complex solutions are x = (11 ± i√47)/6.
Bring all terms to one side:
-3x^2 + 11x - 14 = 0
Multiply by -1:
3x^2 - 11x + 14 = 0
Quadratic formula: x = [11 ± sqrt(121 - 168)]/(2·3) = [11 ± sqrt(-47)]/6 = (11 ± i√47)/6.
So there are no real solutions; the two complex solutions are x = (11 ± i√47)/6.
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