given a,b,c are rational , prove that $(a+b-c)x^2 +(a+c-b)x+(b+c-a)=0$ does not have rational roots. i tried finding discriminant which simplified to $-3b^2+5c^2+5a^2-6ac-2bc-2ba$.now how to prove that it is not a perfect square of a rational number?
2026-04-03 01:44:19.1775180659
proving a given quadratic equation does not have rational roots
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