Asked by kelvin calin

Which are the solutions of x2 = –5x + 8?

StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction negative 5 minus StartRoot 7 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 7 EndRoot Over 2 EndFraction
StartFraction 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 5 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction 5 minus StartRoot 7 EndRoot Over 2 EndFraction comma StartFraction 5 + StartRoot 7 EndRoot Over 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Solve x^2 = −5x + 8 → x^2 + 5x − 8 = 0.
Use quadratic formula x = [−5 ± sqrt(5^2 − 4·1·(−8))]/2 = [−5 ± sqrt(25 + 32)]/2 = [−5 ± sqrt(57)]/2.

So the solutions are (−5 − √57)/2 and (−5 + √57)/2 — the first choice.