Rewrite the equation by completing the square. x² + 8x + 12 =10

Question

Rewrite the equation by completing the square.
x² + 8x + 12 =10

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Delilah 3 hours 2021-10-14T10:14:47+00:00 2 Answers 0

Answers ( )

    0
    2021-10-14T10:16:03+00:00

    Answer:

      (x +4)^2 = 14

    Step-by-step explanation:

    The constant on the left wants to be the square of half the coefficient of the linear term:

      (8/2)^2 = 16

    In order for it to be that value, we need to add 4 to the equation.

      x^2 +8x +12 +4 = 10 +4

      x^2 +8x +16 = 14 . . . . collect terms

      (x +4)^2 = 14 . . . . . . . write as a square

    0
    2021-10-14T10:16:08+00:00

    Answer:

    (x+4)² – 14 =0

    Step-by-step explanation:

    x² + 8x + 12 =10

    (x²+4²) – 4²+12 = 10

    (x+4)² -4-10 = 0

    (x+4)² – 14 =0

    Note: When completing squares, in the equation above.

    • We square the half of 8.
    • We add the result to , and subtract it with 12.

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