SOLUTION: Solve the radical equation. (x-2)√(x-3)=3

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Question 169870This question is from textbook Beginning and Intermediate Algebra
: Solve the radical equation.
(x-2)√(x-3)=3 This question is from textbook Beginning and Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the radical equation.
(x-2)√(x-3)=3
sqrt(x-3) = 3/(x-2)
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Square both sides to get:
x-3 = 9/(x-2)^2
(x-2)^2(x-3) = 9
(x^2-4x+4)(x-3) = 9
x^3 -3x^2 -4x^2 + 4x -12x -12 = 9
x^3 -7x^2 -8x -21 = 0
--------
x = 8.2737
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Cheers,
Stan H.