SOLUTION: One number is 5 more than twice the other. The sum of their squares is 325. Find the numbers.

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Question 271197: One number is 5 more than twice the other. The sum of their squares is 325. Find the numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x=2y+5
x^2+y^2=325
(2y+5)^2+y^2=325
4y^2+20y+25+y^2=325
5y^2+20y+25-325=0
5y^2+20y-300=0
5(y^2+4y-60)=0
5(y-6)(y+10)=0
y-6=0
y=6 ans. x=2*6+5=12+5=17 ans.
y+10=0
y=-10 ans. x=2*-10+5=-20+5=-15 ans.
Proof:
17^2+6^2=325
289+36=325
325=325
-15^2-10^2=325
225+100=325
325=325