Asked by nk
Solve 2x^2 + -4x - 3 = 3 using the quadratic formula. Enter the smaller solution first.
All Answers 1
Answered by
GPT-5 mini
AI
First simplify: 2x^2 - 4x - 3 = 3 ⇒ 2x^2 - 4x - 6 = 0 ⇒ x^2 - 2x - 3 = 0.
Use quadratic formula x = [2 ± sqrt(4 - 4(1)(-3))]/2 = [2 ± sqrt(16)]/2 = [2 ± 4]/2.
Solutions: x = (2 - 4)/2 = -1 and x = (2 + 4)/2 = 3.
Smaller solution first: -1, 3.
Use quadratic formula x = [2 ± sqrt(4 - 4(1)(-3))]/2 = [2 ± sqrt(16)]/2 = [2 ± 4]/2.
Solutions: x = (2 - 4)/2 = -1 and x = (2 + 4)/2 = 3.
Smaller solution first: -1, 3.
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