SOLUTION: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
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Question 781625: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4x^2 + 10x - 16 = 0
x^2 + 5x = 8
c = (b/2a)^2 = (5/2)^2
c = 25/4
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x^2 + 5x + 25/4 = 8 + 25/4 = 57/4
(x + 5/2)^2 = 57/4
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There is no DNE for quadratics.
There are always 2 solutions, tho sometimes they're equal.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
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4x^2 + 10x = 16
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2x^2 + 5x = 8
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2(x^2 + (5/2)x + ? = 8 + 2*?
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Complete the square::
2(x^2 + (5/2)x + (5/4)^2) = 8 + 2(5/4)^2
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2(x+(5/4))^2 = 8 + (25/8)
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2(x+(5/4))^2 = 89/8
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(x+(5/4))^2 = 89/16
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x = (-5/4) + sqrt(89)/4 or x = (-5/4) - sqrt(89)/4
Cheers,
Stan H.
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