Statement-1 : The equation `3x^(5)+15x-18=0` has exactly one real root.
Statement-2: Between any two roots of , there is a root of its derivative f'(x) .

Prove that the equation 3x^(5)+15x-18=0 has exactly one real root.

Statement-1: The equation e^(x-1) +x-2=0 has only one real root. Statement-2 : Between any two root of an equation f(x)=0 there is a root of its derivative f'(x)=0

Statement-1: The equation e^(x-1) +x-2=0 has only one real root. Statement-2 : Between any two root of an equation f(x)=0 there is a root of its derivative f'(x)=0

Prove that the equation 3x^(5)+15x -8=0 has only one real root .

Prove that the equation x^(3) + x – 1 = 0 has exactly one real root.

Statement-1: There is a value of k for which the equation x^(3) - 3x + k = 0 has a root between 0 and 1. Statement-2: Between any two real roots of a polynomial there is a root of its derivation.

Statement-1: There is a value of k for which the equation x^(3) - 3x + k = 0 has a root between 0 and 1. Statement-2: Between any two real roots of a polynomial there is a root of its derivation.

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

If the cubic equation 3x^3 +px +5=0 has exactly one real root then show that p gt 0

If the cubic equation 3x^3 +px +5=0 has exactly one real root then show that p gt 0