The suitable interval of for which equation `x^4 + 2(a + 1)x^2 + 9a - 5 = 0` has exactly two realroots, is

Number of integral values of k for which the equation 4cos^(-1)(-|x|)=k has exactly two solutions,is:

Consider the quadratic equation x^(2)+2(a+1)x+9a-5=0 have

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval

Solve the equation x ^ 9 - x ^ 5 + x ^ 4 - 1=0

The number of values of 'k' for which the equation x^(2) - 3x + k = 0 has two distinct roots lying in the interval (0,1) is :

The real values of lambda for which the equation,4x^(3)+3x^(2)-6x+lambda=0 has two distinct real roots in [0,1] lie in the interval (A)(0,oo)(B)(3,oo)(C)(-5,(7)/(4))(D)[0,(7)/(4))