SOLUTION: x/3SQRT(2X-3) - 1/SQRT(2x-3) = 1/3

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Question 771989: x/3SQRT(2X-3) - 1/SQRT(2x-3) = 1/3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%2F%283sqrt%282X-3%29%29+-+1%2F%28sqrt%282x-3%29%29+=+1%2F3

x%2F%283sqrt%282X-3%29%29+-+%281%2A3%29%2F%283sqrt%282x-3%29%29+=+1%2F3

x%2F%283sqrt%282X-3%29%29+-+3%2F%283sqrt%282x-3%29%29+=+1%2F3

%28x-+3%29%2F%283sqrt%282x-3%29%29+=+1%2F3.....cross multiply

%28x-+3%29%2A3+=+1%283sqrt%282x-3%29%29

%28x-+3%29%2Across%283%29+=+cross%283%29sqrt%282x-3%29

%28x-+3%29+=+sqrt%282x-3%29.......square both sides

%28x-+3%29%5E2+=+%28sqrt%282x-3%29%29%5E2

x%5E2-+6x%2B9+=+2x-3

x%5E2-+6x%2B9+-2x%2B3=0

x%5E2-8x%2B12=0.....write -8x as -2x-6x

x%5E2-2x-6x%2B12=0....group

%28x%5E2-2x%29-%286x-12%29=0
x%28x-2%29-6%28x-2%29=0
%28x-6%29%28x-2%29+=+0
solutions:
if %28x-6%29+=+0=> x=6
if %28x-2%29+=+0=> x=2