The least +ve integral value of 'a' for which the equation `3x^4 +4x^3-12x^2 +5a=0` has no real root is

Find the values of 'm' for which the equation x^4-(m-3)x^2+m =0 has No real roots

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 smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

The largest integral value of k for which the equation (x-1)(x-2)(x-3)(x-4)+k=0 has real roots is a root of the equation (a) x^(2)-3x+2=0 (b) x^(2)+3x+2=0 (c) x^(2)-7x+12=0(d)x^(2)+7x+12=0

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

Number of integral values of 'a' for which the equation cos2x+3sin x+4sin^(2)x=a-3 has a real root is/are

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

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