Asked by kelvin calin

Which are the solutions of the quadratic equation?

x2 = 9x + 6

StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Solve x^2 = 9x + 6 → x^2 - 9x - 6 = 0.
By the quadratic formula x = [9 ± sqrt(81 + 24)]/2 = [9 ± sqrt(105)]/2.

So the correct choice is: (9 - sqrt(105))/2 , (9 + sqrt(105))/2 (the third option).