SOLUTION: the largest solution of {{{x-13sqrt(x)+36=0}}} is

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Question 18989: the largest solution of x-13sqrt%28x%29%2B36=0 is
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
x-13sqrt%28x%29%2B36=0 ...this is a normal qudratic eqn.slightly disguised..we have to remove that veil to know that..it is called onion peel approach..peel of the outer layer to get the real picture.put sqrtx=y in this and you will get the normal quadratic as
y%5E2-13y%2B36=0 ...we can easily factorise this as
y^2-9y-4y+36=0..or..y(y-9)-4(y-9)=0..or..(y-9)(y-4)=0
so y=9 or 4
since y=sqrtx=9...or....4..we get
x=81...or...16...so the largest solution is x=81