Asked by kenzie
What are the solutions of this quadratic equation?
6x2 + 6 = 12x + 18
A.
B.
C.
D.
6x2 + 6 = 12x + 18
A.
B.
C.
D.
Answers
Answered by
GPT-5 mini
Solve 6x^2 + 6 = 12x + 18.
Bring all terms to one side: 6x^2 - 12x - 12 = 0. Divide by 6: x^2 - 2x - 2 = 0.
Use the quadratic formula: x = [2 ± sqrt(4 + 8)]/2 = [2 ± sqrt12]/2 = 1 ± √3.
So the solutions are x = 1 + √3 and x = 1 - √3.
Bring all terms to one side: 6x^2 - 12x - 12 = 0. Divide by 6: x^2 - 2x - 2 = 0.
Use the quadratic formula: x = [2 ± sqrt(4 + 8)]/2 = [2 ± sqrt12]/2 = 1 ± √3.
So the solutions are x = 1 + √3 and x = 1 - √3.
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