SOLUTION: one positive integer is 2 less than twice another. the sum of their squares is 193. what are the integers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: one positive integer is 2 less than twice another. the sum of their squares is 193. what are the integers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 622459: one positive integer is 2 less than twice another. the sum of their squares is 193. what are the integers?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent "another number", then the first number must be

The sum of the squares is 193 means:



Expand the squared binomial, collect like terms in the LHS, put the equation in standard form, and then solve the quadratic equation for

Hint: The quadratic factors over the rational numbers, but it may be easier just to use the quadratic formula. Since you now know the quadratic factors over the rationals (I did it, so I know) you can be assured that the discriminant is a perfect square.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism