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

1 Answer
P dilip_k
Mar 5, 2016

#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

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