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Solving college mathematics competition: 20 17 to the A power +20 17 to the B power =20 17 to find (A+b).
(a+b)^2=2a+2b+ 1

That is (a+b) 2-2 (a+b)+ 1 = 2.

So go ahead.

(a+b- 1)^2=2

Therefore, a+b= 1+ radical number 2 or 1- radical number 2.

Then (a+b) 20 17 is equal to (1+ root number 2) 20 17 or (1- root number 2) 20 17.

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