The equation `x^3+e^x+5=0` has

The equation x e^(x) = 2 has

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.

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

The equation e^(x)+x-1=0 has, apart from x = 0

The equation e^x-x-1=0 has apart from x=0

The equation 2tan x+5x-2=0 has

Show that the equation x^(5)-3x-1=0 has a unique root in [1,2] .

The equation k+x^(3)e^(x+3)=0 has 2 distinct real roots & k is a prime natural number, then the possible value of k is/are