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The sum of a number and its positive squ...

The sum of a number and its positive square root is 6/25.Find the number.

Text Solution

Verified by Experts

let number=n
`n+sqrtn=6/25`
`sqrtn=6/25-n`
`n=36/625+n^2-12/25n`
`n^2-12/25n-n+36/625=0`
`625n^2-925n+36=0`
`n=(925pmsqrt((925)^2-4*36*625))/(2*625)`
`n=1.44,0.077`
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