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

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) (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


     = .


      = 10.

     The other root is negative.


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

Solved.

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