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If a+b+c=0 and a,b,c are rational number,the the roots of the equation (b+c-a)x^2+(c+a-b)x+(a+b-c)=0 are

If a+b+c=0 and a,b,c are rational number,the the roots of the equation (b+c-a)x^2+(c+a-b)x+(a+b-c)=0 are

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
6 years ago
Hello student,
Discriminant=(c+a-b)2-4(b+c-a)(a+b-c)
on simplifying it we get =2(a-c)2
as dicriminant is a perfect square
The roots are rational
Thanks and Regards
Shaik Aasif
askIITians faculty

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