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3 years ago

What is the solution to 2х2+8х=х2-16?

Mathematics

2 answers:

Alex787 [66]3 years ago

7 0

The answer should be x=-4

Yakvenalex [24]3 years ago

4 0

Answer:

double, real root x = -4

Step-by-step explanation:

Please use " ^ " to indicate exponentation: 2х^2 + 8х = х^2 - 16.

Combine like terms:

х^2 + 8х = - 16.

Re-write in the standard form for a quadratic:

х^2 + 8х + 16 = 0

Recognize that this is the square of the binomial x + 4:

х^2 + 8х + 16 = 0 => (x + 4)^2 = 0

Solving this last result for x yields the double, real root x = -4.

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