Find the set of values of `lambda` for which the equation `|x^2-4|x| -12] = lambda` has 6 distinct real roots.

The set of values of lambda for which the equation "sin"^(4) x + "cos"^(4) x =lambda has a solution, is

The set of values of lambda for which the equation "sin"^(4) x + "cos"^(4) x =lambda has a solution, is

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.

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))

Find the value of lambda for which equation 3x^(4)-8x^(3)-6x^(2)+24x=lambda has

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

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

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 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