Number of real values of P for which the equation `x^(2)-px+8=0` and `x^(2)+p=0` have two integral solutions is

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has two real solutions

The range of real values of 'p' for which the equation 2log_3^2 x-|log_3 x| +p = 0 has four distinct solutions is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

There is only one real value of a for which the quadratic equation ax^2+(a+3)x+a-3=0 has two positive integral solutions. The product of these two solutions is

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

Let a denotes the number of non-negative values of p for which the equation p.2^x +2^(-x)=5 possess a unique solution. Then find the value of 'a'.

Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2-(a^2-3a+2)=0 has only real roots

The positive value of k for which the equation x^2+k x+64=0 and x^2-8x+k=0 will both have real roots, is (a)4 (b) 8 (c) 12 (d) 16

The positive value of k for which the equation x^2+k x+64=0 and x^2-8x+k=0 will both have real roots, is (a) 4 (b) 8 (c) 12 (d) 16

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