The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Explanation

Let smaller number=x

Let larger number =y

`y^2-x^2=180`-(1)

`x^2=8y`

putting thisvalue in equation 1

`y^2-8y-180=0`

y(y-18)+10(y-18)=0

(y-18)(y+10)

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