SOLUTION: One positive integer is 1 less than twice another. The sum of their squares is 34. Find the integers.

SOLUTION: One positive integer is 1 less than twice another. The sum of their squares is 34. Find the integers.

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Question 1085516: One positive integer is 1 less than twice another. The sum of their squares is 34. Find the integers.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
integers are x and 2x-1
sum of squares is x^2+4x^2-4x+1=5x^2-4x+1=34
5x^2-4x-33=0
(5x+11)(x-3)=0
only positive root is x=3
integers are 3 and 5
sum of squares is 9+25=34
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