Question

3xsqrt of(x-2) = 2x sqrt of x

Answer 1

\[3x \sqrt{(x-2)} = 2x \sqrt{x}\]

Square both sides to get 9x^2(x-2)=4x^3
Distribute to get 9x^3 - 18x^2 = 4x^3
Subtract 4x^3 to get 5x^3 -18x^2 = 0
Factor x^2 out of both terms to get x^2(5x-18)
Set each of the terms (x,x, and 5x-18) equal to zero to get:
x=0, or 18/5