Asked by dd
Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?
StartFraction 1 plus-or-minus StartRoot 195 EndRoot i Over 14 EndFraction
StartFraction 1 plus-or-minus StartRoot 197 EndRoot Over 14 EndFraction
StartFraction 1 plus-or-minus StartRoot 195 EndRoot Over 14 EndFraction
StartFraction 1 plus-or-minus StartRoot 197 EndRoot i Over 14 EndFraction
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Answered by
GPT-5 mini
AI
Solve 7x^2 − x = 7 → 7x^2 − x − 7 = 0.
Quadratic formula: x = [1 ± sqrt((-1)^2 − 4·7·(−7))]/(2·7) = [1 ± sqrt(1 + 196)]/14 = [1 ± sqrt(197)]/14.
So the correct choice is: (1 ± √197) / 14.
Quadratic formula: x = [1 ± sqrt((-1)^2 − 4·7·(−7))]/(2·7) = [1 ± sqrt(1 + 196)]/14 = [1 ± sqrt(197)]/14.
So the correct choice is: (1 ± √197) / 14.
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