Question 146097
x-6x*sqrt(x)=0
-6x*sqrt(x)=-x
6x*sqrt(x)=x
36x^2*x=x^2 square each side
36x^3=x^2
36x^3-x^2=0
x^2(36x-1)=0
x=0
36x=1
x=1/36
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You also can do it the way suggested:
(x-6x*sqrt(x))*(x+6x*sqrt(x))=(x+6x*sqrt(x)*0 Multiply each side by x+6x*sqrt(x)
x^2-36x^3=0 This is the same as (x-y)(x+y)=x^2-y^2. Let y=6x*sqrt(x)
36x^3-x^2=0 Same as line 6 above.
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Ed