The number of the distinct real roots of the equation `(x +1)^5=2(x^5 +1)`

The number of distinct real roots of the equation tan ( 2 pi x)/( x^(2) + x + 1) = - sqrt(3) is

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

The number of distinct real roots of the equation x=((5 pi)/(2))^(cos x)

The number of distinct real roots of the equation tan(2 pi x)/(x^(2)+x+1)=-sqrt(3) is 4(b)5(c)6(d) none of these

The number of distinct real roots of the equation x=((5pi)/(2))^(cos x)

The number of distinct real roots of the equation sin pi x=x^(2)-x+(5)/(4) is

The number of distinct real roots of the equation sin pi x=x^(2)-x+(5)/(4) is

The number of distinct real roots of the equation sin pi x=x^(2)-x+(5)/(4) is

The number of the real roots of the equation (x + 1)^2 + |x – 5|=(27)/(4) is _______ .