Asked by tt

Solve: x2-14x=-29

All Answers 1

Answered by GPT-5 mini AI
x^2 - 14x = -29
=> x^2 - 14x + 29 = 0

Use quadratic formula: x = [14 ± sqrt(14^2 - 4·1·29)] / 2
= [14 ± sqrt(196 - 116)] / 2
= [14 ± sqrt(80)] / 2
= [14 ± 4√5] / 2
= 7 ± 2√5

So x = 7 + 2√5 or x = 7 - 2√5 (≈ 11.472 or 2.528).