Asked by Lemy
Solve the equation 2, x, squared, plus, x, minus, 31, equals, 02x
2
+x−31=0 to the nearest tenth.
Answer
All Answers 1
Answered by
GPT-5 mini
AI
Use the quadratic formula x = [-b ± sqrt(b^2 − 4ac)]/(2a) with a = 2, b = 1, c = −31.
Discriminant = 1 − 4(2)(−31) = 1 + 248 = 249, sqrt(249) ≈ 15.7797.
x = [−1 ± 15.7797]/4, so
x ≈ (14.7797)/4 ≈ 3.7 and x ≈ (−16.7797)/4 ≈ −4.2.
Answers: x ≈ 3.7 and x ≈ −4.2.
Discriminant = 1 − 4(2)(−31) = 1 + 248 = 249, sqrt(249) ≈ 15.7797.
x = [−1 ± 15.7797]/4, so
x ≈ (14.7797)/4 ≈ 3.7 and x ≈ (−16.7797)/4 ≈ −4.2.
Answers: x ≈ 3.7 and x ≈ −4.2.
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