SOLUTION: find two numbers whose sum is 26,if the sum or their squares is 340.

Algebra.Com
Question 796683: find two numbers whose sum is 26,if the sum or their squares is 340.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
find two numbers whose sum is 26,if the sum or their squares is 340.
***
let x=one of the numbers
26-x=other number
x^2+(26-x)^2=340
x^2+676-52x+x^2=340
2x^2-52x+336=0
x^2-26x+168=0
(x-12)(x-14)=0
x=12
or
x=14
..
one of the numbers=12
other number=14

RELATED QUESTIONS

Find two consecutive even natural numbers such that the sum of their squares is 340 . (answered by Theo)
find two consecutive even integers such that the sum of their squares is 340. (answered by nyc_function)
find the two consecutive positive even numbers the sum of whose squares... (answered by checkley77)
find two numbers whose sum is 13 and the difference of their squares is... (answered by srinivas.g)
Find two numbers whose product is 156 if the sum of their squares is 313. Show your... (answered by Fombitz)
The sum of two numbers is 36.Find the numbers whose sum of their squares is a... (answered by ankor@dixie-net.com)
find two numbers whose sum is 12 and whose difference between their squares is 48. (answered by Earlsdon)
find two numbers whose sum is 12 and whose difference between their squares is... (answered by rajagopalan)
Find two numbers whose sum is 11 and whose difference between their squares is 33? (answered by Fombitz)