Question 245970
sqrt(x-1)+sqrt(2x)=6
sqrt(x-1)=6-sqrt(2x)
x-1=2x-12sqrt(2x)+36
-x-37=-12sqrt(2x)
x^2+74x+1369=288x square each side
x^2-214x+1369=0
x=6.60... The other answer is extraneous.
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Ed
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*[invoke quadratic "x", 1, -214, 1369]