Question 138755
x-6=sqrt(3x)
(x-6)^2=3x
x^2-12x+36=3x
x^2-15x+36=0
(x-12)(x-3)=0
x=12, x=3
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Always check:
12-6=sqrt(3*12)
6=sqrt(36) true
.
3-6=sqrt(3*3)
-3=sqrt(9) false
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x=12 is the only answer.
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Ed