SOLUTION: The sum of two integers is 7 and the sum of their squares is 37. Find the integers.

Question 1150395: The sum of two integers is 7 and the sum of their squares is 37. Find the integers.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

-

-

The integers are 1 and 6.
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

Given that the sum of the two integers is 7, let the two integers be x and (7-x). Then

x = 6 and 7-x = 1; or x=1 and 7-x = 6.

Either way, the two integers are 6 and 1.

Of course, if a formal algebraic solution is not required, you can find the answer in practically no time by trial and error.

RELATED QUESTIONS
the sum of two integers is 10 and the sum of their squares is 82. find the integers (answered by josmiceli)
The sum of two integers is 13. The sum of their squares is 97.Find the... (answered by nshah11)
The sum of two integers is 8 and the sum of their squares is 19 more than their product.... (answered by ankor@dixie-net.com)
The sum of two integers is 25. The difference of their squares is 275. Find the two... (answered by venugopalramana)
The sum of two positive integers is 25. The diffence of their squares is 275. Find the... (answered by Paul)
the difference of two positive integers is 5. Find the two integers if the sum of their... (answered by oscargut)
The sum of two integers is 10, and the sum of their squares is 250. Find the two... (answered by josmiceli)
Find two consecutive positive integers such that the sum of their squares is 85. (answered by xcentaur)
find two consecutive integers such that the sum of their squares is... (answered by checkley71)