if the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal show that a,b,c are in AP

Asked by rhinithaa | 2nd Dec, 2010, 12:24: PM

Expert Answer:

Dear Student
For the equation(b-c)x2+(c-a)x+(a-b)=0 to have equal roots Discriminant D must be zero
Let A = (b-c) B =(c-a), C = (a-b)
So B2-4AC = 0
(c-a)2 =4(b-c)(a-b)
c2+a2-2ac =4ba-4b2-4ca+4bc
So 2b=c+a
or a,b,c are in AP

Answered by  | 3rd Dec, 2010, 09:52: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.