Question

The sum of the numbers is 8 and the sum of their squares is 170. How do you find the numbers?

Answer 1

`x=11,x=7`

Explanation:

It is possible to solve for 2 numbers as two conditions are given.and their sum should be 18 not 8
If one number is taken to be x then the other one is 18-x
By the given condition
`x^2+(18-x)^2=170`
`=>2x^2-36x+324=170`
Dividing both sides by 2
`=>x^2-18x+162-85=0`
`=>x^2-18x+77=0`
`=>x^2-11x-7x+77=0`
`=>x(x-11)-7(x-11)=0`
`=>(x-11)(x-7)=0`
`x=11,x=7`
So one no is 11 and another is 7

Is the correction OK?
Intimate ,pl