SOLUTION: Ronnies age plus the square of Alan's age is 2240. Alan's age plus the square of Ronnie's age 1008. How old is Ronnie and Alan?

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Question 426470: Ronnies age plus the square of Alan's age is 2240. Alan's age plus the square of Ronnie's age 1008. How old is Ronnie and Alan?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
r+a^2=2240
r^2+a=1008
.
a=1008-r^2
r+(1008-r^2)^2=2240
r^4-2016r^2+r+1016064-2240=0
r^4-2016r^2+r+1013824=0
r=31
a=47
.
Ed