solve -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

Use the quadratic formula x = [11 ± sqrt(11^2 - 4·3·14)]/(2·3)
Discriminant = 121 - 168 = -47, so the solutions are complex:
x = (11 ± √(-47)) / 6 = (11 ± i√47) / 6.

Approximate values: x ≈ 1.8333 ± 1.1426 i.

There are no real solutions.