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MathematicsMathematics
17 February, 19:46

Solve for x.

(x+8) ^2=x^2+4x+16

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Answers (2)
  1. 17 February, 23:07
    0
    Expanding the left side:-

    x^2 + 16x + 64 = x^2 + 4x + 16

    x^2 - x^2 + 16x - 4x + 64 - 16 = 0

    12x + 48 = 0

    12 x = - 48

    x = - 4
  2. 17 February, 23:25
    0
    (x+8) ^ 2 = x^2 + 4x + 16 Simplify both sides of the equation. x^2 + 16x + 64 = x^2 + 4x + 16 Subtract x^2 from both sides. x^2 + 16x + 64 - x^2 = x^2 + 4x + 16 - x^2 16x + 64 = 4x + 16 Subtract 4x from both sides. 16x + 64 - 4x = 4x + 16 - 4x 12x + 64 = 16 Subtract 64 from both sides. 12x + 64 - 64 = 16-64 12x = - 48 Divide both sides by 12. 12x / 12 = - 48 / 12 x = - 4 Answer: x = - 4
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