Question

a positive number is divided into two such that the sum of the squares of the parts is 20. the square of the largest part is 8 times the smaller . taking x as the smaller part of two parts, find the number

Answer 1

let the smaller no. be x
so,larger no. is y
x^2+y^2=20
y^2=8x^2
x^2+8x^2=20
9x^2=20
x^2=20/9
x^2=2.222.......
x=1.48
8x^2=8*2.22
=17.8
y^2=8x^2
y^2=17.8
y=4.2

now,the positive no.is
x+y....
1.48......+4.2........
6