Find the values of p for which the equation `x^(4)-14x^(2)+24x-3-p=0` has
(a) Two distinct negative real roots
(b) Two real roots of opposite sign
(c) Four distinct real roots
(d) No real roots

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

Find the values of k for which the equation x^2-4x+k=0 has distinct real roots.

Find the value of K for which the quadratic equation kx^(2)+2x+1=0, has real and distinct root.

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

The value of p for which the quadratic equation 2px^(2) + 6x + 5 = 0 has real and distinct roots is

The real number k for which the equation 2x^(3)+3x+k=0 has two distinct real roots in [0, 1]

The real number k for which the equation : 2x^(3)+3x+k=0 has two distinct real roots in [0, 1] :

The real number k for which the equation, 2x^(3)+3x+k=0 has two distinct real roots in [0,1]

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots