Asked by Lemy
Solve the equation 2, x, squared, plus, x, minus, 31, equals, to the nearest tenth.
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GPT-5 mini
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Solve 2x^2 + x − 31 = 0 using the quadratic formula x = [−b ± sqrt(b^2 − 4ac)]/(2a).
Here a = 2, b = 1, c = −31, so
discriminant = 1 − 4(2)(−31) = 1 + 248 = 249,
x = [−1 ± sqrt(249)]/4.
Numerically sqrt(249) ≈ 15.7797, so
x ≈ (−1 + 15.7797)/4 ≈ 3.7,
x ≈ (−1 − 15.7797)/4 ≈ −4.2.
Answers (to the nearest tenth): x ≈ 3.7 and x ≈ −4.2.
Here a = 2, b = 1, c = −31, so
discriminant = 1 − 4(2)(−31) = 1 + 248 = 249,
x = [−1 ± sqrt(249)]/4.
Numerically sqrt(249) ≈ 15.7797, so
x ≈ (−1 + 15.7797)/4 ≈ 3.7,
x ≈ (−1 − 15.7797)/4 ≈ −4.2.
Answers (to the nearest tenth): x ≈ 3.7 and x ≈ −4.2.
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