SOLUTION: One positive integer is 6 less than twice another. The sum of their squares is 296. Find the integers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: One positive integer is 6 less than twice another. The sum of their squares is 296. Find the integers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1149878: One positive integer is 6 less than twice another. The sum of their squares is 296. Find the integers.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be "another" integer.


Then the "first" integer is 2x-6.


   x^2 + (2x-6)^2 = 296


   x^2 + 4x^2 - 24x + 36 = 296

   5x^2 - 24x - 260 = 0


    x%5B1%2C2%5D = %2824+%2B-+sqrt%2824%5E2+%2B+4%2A5%2A260%29%29%2F%282%2A5%29.


     x%5B1%5D = 10.

     The other root is negative.


Answer.  The numbers are 10  and 2*10-6 = 14.    ANSWER

Solved.