" 9.Prowe that the exgmation "x^(4)-4x-1=0" has exactly two real rosts."

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

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

Prove that the equation x^(4)-4x -1 =0 has two different real roots .

By using the method of completing the square, show that the equation 4x^(2)+3x+5=0 has no real roots.

By using the method of completing the square, show that the equation 4x^(2)+3x+5=0 has no real roots.

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

The set of values of k(k in R) for which the equation x^(2)-4|x|+3-|k-1|=0 will have exactly four real roots,is

By using the method of completing the square, show that the equation 4x^2+3x+5=0 has no real roots.

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) .

If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real roots, then the smallest integral value of |k| is: