Let `p,q epsilon{1,2,3,4}`. The number of equations of the form `px^(2)+qx+1=0` having real roots, is

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

If a,b,c epsilon {1,2,3,4,5}, the number of equations of the form ax^2+bx+c=0 which have real roots is (A) 25 (B) 26 (C) 27 (D) 24

If p ,q in {1,2,3,4,5} , then find the number of equations of form p^2x^2+q^2x+1=0 having real roots.

If p ,q in {1,2,3,4,5} , then find the number of equations of form p^2x^2+q^2x+1=0 having real roots.

Let alpha, beta be the roots of x^2-x+p=0 and gamma, delta be the roots of x^2-4x+q=0 such that alpha, beta, gamma, delta are in G.P. and pge2. If a,b,c epsilon {1,2,3,4,5}, let the number of equation of the form ax^2+bx+c=0 which have real roots be r, then the minium value of p q r =

If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the equations of the form a x^2+b x+1=0 having real roots is (a) 10 (b) 7 (c) 6 (d) 12

If the sum of two roots of the equation x^3-px^2 + qx-r =0 is zero, then:

The number of real roots of the equation x^5+e^(8x)=0 is (1)0 (2) 1 (3) 2 (4) 3

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

Given that 2 is a root of the equation 3x^(2)-p(x+1)=0 and that the equation px^(2)-qx+9=0 has equal roots, find the values of p and q.