If the roots of `a(b-c)x^2+b(c-a)x+c(a-b)=0` are equal then `1/a+1/b+1/c=`

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal show that 1/a,1/b,1/c are in A.P.

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

If the roots of equation a(b-c)x^2+b(c-a)x+c(a-b)=0 be equal prove that a,b,c are in H.P.

If the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal,show that 2/b=1/a+1/c.

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal,then prove that 2b=a+c