SOLUTION: Solve. Not sure how to write square root, (square root 3x+24) = x+2 I know a sqiare root is the opposite of exponent 2, not sure how to work this.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. Not sure how to write square root, (square root 3x+24) = x+2 I know a sqiare root is the opposite of exponent 2, not sure how to work this.      Log On


   



Question 156520: Solve.
Not sure how to write square root,
(square root 3x+24) = x+2
I know a sqiare root is the opposite of exponent 2, not sure how to work this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(square root 3x+24) = x+2
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Square boh sides:
3x + 24 = (x+2)^2
3x + 24 = x^2 + 4x + 4
x^2 +x -20 = 0
(x+5)(x-4) = 0
x = -5 or x = 4
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Check these answers in sqrt(3x+24) = x+2:
x = -5 ? : sqrt(-15+24) = -5+2 = sqrt(9) = 3 : OK
x = 4 ? : sqrt(12+24) = 6 : OK
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Cheers,
Stan H.
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