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Pre-Calc

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√(X+10) + √(X-6) = 8

Help would be greatly appreciated! Thanks!

  • Pre-Calc -

    x=+-√(14

  • Pre-Calc -

    sqrt(x-6)+sqrt(x+10) = 8

    sqrt(x-6) = 8 - sqrt(x+10)
    Square both sides
    x - 6 = (8 - sqrt(x + 10))^2
    Expand out terms on the right hand side
    x - 6 = x - 16sqrt(x + 10) + 74
    16sqrt(x + 10) = 80
    Divide both sides by 16
    sqrt(x + 10) = 5
    Square both sides
    x + 10 = 25
    x = 15

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