Question

The difference of squares of 2natural nos. is 45. The square of smaller no. is 4times the larger no. . Find the no.

Answer 1

let the smaller number be x

largest number =x²/4

a/q

(x²/4)²-x²= 45

or, x⁴/16-x²=45

or,x⁴-16x²=16×45

or, x⁴-16x²-720=0

now solve it