If the roots of the equation `px^2+rx+r=0` are in the ratio `a:b`, prove that ,`p(a+b)^2=rab`.

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then

In the equation px^2+rx+r=0 ratio of the roots are a:b then prove that p(a+b)^2=rab

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then prove that, 2p^3 −9pq+27r=0

If one of the root of the equation px^2 + qx + r = 0 is the cube of the other, prove that. rp(r + p)^2 = (q^2 - 2rp)^2 .

IF one root of the equation px^2+qx+r=0 is the cube of the other, prove that , rp(r+p)^2=(q^2-2rp)^2 .

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^2c=b^2qdot

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^2c=b^2qdot

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^(2)c=b^2qdot

The ratio of the roots of the equation ax^2+ bx+c =0 is same as the ratio of roots of equation px^2+ qx + r =0 . If D_1 and D_2 are the discriminants of ax^2+bx +C= 0 and px^2+qx+r=0 respectively, then D_1 : D_2