SOLUTION: sum of the number and its positive square root is 6/25. find the number.

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Question 143696: sum of the number and its positive square root is 6/25. find the number.
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x+sqrt(x)-6/25=0
let z^2=x
z^2+z-6/25=0
z+=+%28-1+%2B-+sqrt%281%2B24%2F25%29%29%2F%282%29+
z+=+%28-1+%2B-+sqrt%2849%2F25%29%29%2F%282%29+
z+=+%28-1+%2B-+7%2F5%29%2F%282%29+
z=-12/10 or z=1/5
then z=1/5 and x=1/25
Answer: the nimber is 1/25