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.

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

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

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

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

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

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