SOLUTION: one positive integer is 1 less then twice another. the sum of their squares is 673. find the integers....

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Question 521366: one positive integer is 1 less then twice another. the sum of their squares is 673. find the integers....
Answer by Math_prodigy(24) About Me  (Show Source):
You can put this solution on YOUR website!
x=2y-1
X^2+y^2=673
(2y-1)^2+y^2=673
4y^2-4y+1+y^2=673
5y^2-4y-672=0
x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A5%2A%28-672%29+%29%29%2F%282%2A5%29+
y=12
y=-11.2 - reject
x=2*12-1=23
Answer: 12 and 23