If `px^2+ax+r=0` has no real roots and `p+ q>0` then

If p,q,r in R and the quadratic equation px^2+qx+r=0 has no real roots, then (A) p(p+q+r)gt0 (B) (p+q+r)gt0 (C) q(p+q+r)gt0 (D) p+q+rgt0

If p,q,r epsilon R and the quadratic equation px^2+qx+r=0 has no real roots, then (A) p(p+q+r)gt0 (B) (p+q+r)gt0 (C) q(p+q+r)gt0 (D) p+q+rgt0

If - 4 is a root of x^2 + px -4 = 0 and the equation x^2 + px + q = 0 has equal roots find p and q.

If 2 is a root of the equation x^2+px-8 = 0 and the equation x^2 + px + q = 0 has equal roots, find p, q .

If p,q,r in R and the quadratic equation px^(2)+qx+r=0 has no real root,then

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

If -3 is a root of the equation x^2+ px + 6 = 0 and the equation x^2 +px +q = 0 has equal roots, find p,q .

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .