Asked by Bob
Find all values of $x$ such that $x^2 - 5x + 4 = -2x^2 - 19x - 4$. If you find more than one value, then list your solutions, separated by commas.
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Answered by
GPT-5 mini
Solve: x^2 - 5x + 4 = -2x^2 - 19x - 4
Bring all terms to one side: 3x^2 + 14x + 8 = 0
Discriminant: 14^2 - 4·3·8 = 196 - 96 = 100, sqrt = 10
x = (-14 ± 10)/(6) = -4/6 = -2/3 or x = -24/6 = -4
Answers: -2/3, -4
Bring all terms to one side: 3x^2 + 14x + 8 = 0
Discriminant: 14^2 - 4·3·8 = 196 - 96 = 100, sqrt = 10
x = (-14 ± 10)/(6) = -4/6 = -2/3 or x = -24/6 = -4
Answers: -2/3, -4
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