The number of values of `k` for which the equation `x^3-3x+k=0` has two distinct roots lying in the interval `(0,1)` is three (b) two (c) infinitely many (d) zero

Find the value of k for which the equation x^2 −6x+k=0 has distinct roots.

The value of k for which the equation x^2+kx+25=0 has equal roots is

Number of integral values of b for which the equation (x^3)/3-x=b has three distinct solutions is____

The range of a for which the equation x^2+ax−2=0 has its smaller root in the interval (−1,-3) is

Number of values of p for which equation sin^3x+1+p^3-3psinx=0(p >) has a root is ________

Number of values of p for which equation sin^3x+1+p^3-3p sinx=0(p >0) has a root is ________

If the equation x^4- λx^2+9=0 has four real and distinct roots, then lamda lies in the interval

find the values k for which the quadratic equation 2x^2 + Kx +3=0 has two real equal roots

Find the value of k if x^3-3x+k=0 has three real distinct roots.

The real number k for which the equation, 2x^3+""3x""+""k""=""0 has two distinct real roots in [0, 1] (1) lies between 2 and 3 (2) lies between -1 and 0 (3) does not exist (4) lies between 1 and 2