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There exist nonzero integers \(a\) and \(b\) such that the quadratic \((ax - b)^2 + (bx - a)^2 = x\)
has one integer root and one non-integer root. Find the non-integer root.

 

 

 

 

 

All help is GREATLY appreciated!laugh

 Jan 17, 2022
 #1
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The non-integer root is 1/3.

 Feb 6, 2022

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