Prove that `p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,w h e r ep ,q ,r` are distinct and`x!=1.`

Prove that p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,where p, q, r are distinct and x!=1.

Prove that px^(q-r)+qx^(r-p)+rx^(p-q)>p+q+r, where p,q,r are distinct and x!=1

Prove that px^(q - r) + qx^(r - p) + rx^(p - q) gt p + q + r where p,q,r are distinct number and x gt 0, x =! 1 .

x^(p-q).x^(q-r).x^(r-p)

If p(q-r) x^2 +q(r-p) x+r(p-q) =0 has equal roots then 2/q =

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then;

If p(q-r)x^(2) + q(r-p)x+ r(p-q) = 0 has equal roots, then show that p, q, r are in H.P.

If lines p x+q y+r=0,q x+r y+p=0a n dr x+p y+q=0 are concurrent, then prove that p+q+r=0(w h e r ep ,q ,r are distinct )dot