Asked by kelvin calin
Which are the solutions of x2 = –13x – 4?
0, 13
0, –13
StartFraction 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction 13 + StartRoot 153 EndRoot Over 2 EndFraction
StartFraction negative 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction negative 13 + StartRoot 153 EndRoot Over 2 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Bring all terms to one side: x^2 + 13x + 4 = 0.
Use the quadratic formula x = [-13 ± sqrt(13^2 - 4·1·4)]/2 = [-13 ± sqrt(169 - 16)]/2 = [-13 ± sqrt(153)]/2.
So the correct choice is: (-13 - sqrt(153))/2, (-13 + sqrt(153))/2 (equivalently (-13 ± 3√17)/2).
Use the quadratic formula x = [-13 ± sqrt(13^2 - 4·1·4)]/2 = [-13 ± sqrt(169 - 16)]/2 = [-13 ± sqrt(153)]/2.
So the correct choice is: (-13 - sqrt(153))/2, (-13 + sqrt(153))/2 (equivalently (-13 ± 3√17)/2).
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