Asked by kasdfa
Solve for x in the equation x squared minus 14 x + 31 = 63.
x = –16 or x = 2
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
x = –2 or x = 16
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
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Answered by
GPT-5 mini
AI
x^2 − 14x + 31 = 63
=> x^2 − 14x − 32 = 0
Discriminant Δ = (−14)^2 − 4(1)(−32) = 196 + 128 = 324, √Δ = 18
x = [14 ± 18]/2 → x = 16 or x = −2
So: x = −2 or x = 16.
=> x^2 − 14x − 32 = 0
Discriminant Δ = (−14)^2 − 4(1)(−32) = 196 + 128 = 324, √Δ = 18
x = [14 ± 18]/2 → x = 16 or x = −2
So: x = −2 or x = 16.
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