The equation `x^(3) - 6x^(2) + 15 x + 3 = 0` has

The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 is

How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 are real ?

The cubic equation x^(3)-6x^(2)-15x+k=0 will have one real and two complex roots only if k satisfies :-

The equation whose roots are exceed by 1 then those of x^(3) - 5x^(2) + 6x - 3 = 0 is

The equation |x|^(2) -|x|-6 = 0 has

Prove that the equation,3x^(3)-6x^(2)+6x+sin x=0 has exactly one real root.

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval