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if the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal and a,b,c>0, then prove that 2/b=1/a+1/c, i.e., a,b,c are in H.P. |
| Answer» if the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal and a,b,c>0, then prove that 2/b=1/a+1/c, i.e., a,b,c are in H.P. | |