Question

The sum of nu.bereand its positive square root is 72 .Find the number.

Answer 1

Answer:

Let the number be x

Given : x + root x = 72

let x = y^2(where y is a positive no.)

So new eqn => y^2 + y - 72 = 0

y^2 + 9y - 8y - 72 = 0

y(y+9) -8 (y+9) = 0

(y-8)(y+9) = 0

So y = 8 or y = -9

but y can't be negative as:

y = root x which is positive as according to question.

So x = y^2 = 8^2 = 64.

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