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22 October, 00:10

1. Explain why the equation (x-4) ^2 - 28=8 has two solutions. Then solve the equation to find the solutions. Show your work.

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Answers (2)
  1. 22 October, 00:20
    0
    (x-4) ^2 extended is x^2 - 8x + 16. Then you substitute that in and you get x^2 - 8x + 16 - 28 = 8. 16-28 = - 12. Then you subtract 8 on both sides. You get x^2 - 8x - 12 - 8 = 0. - 12-8=-20. x^2 - 8x - 20 = 0. Then you use the quadratic formula and you get the 2 answers.
  2. 22 October, 03:36
    0
    The equation is a second degree equation so it will have 2 solutions.

    Theeasiest way To solve this equation is the 'square root method'.

    First I'll get the 'square on the left and everything else on the right.

    (x - 4) ^2 - 28 = 8

    Add 28 to both sides.

    (x - 4) ^2 = 36

    Take the square root of both sides

    x - 4 = + - 6

    Add 4 to both sides.

    x = 4 + - 6

    x = 4 + 6 = 10

    x = 4 - 6 = - 2
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