Find the sum of the roots (real or compl...

Find the sum of the roots (real or complex) of the equation `x^2001 + (1/2-x)^2001=0` .

Verified by Experts

The correct Answer is:

500

Similar Questions

Explore conceptually related problems

The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

Find the sum of odd integers from 1 to 2001.

The sum of the roots of the equation 2^(33 x-2)+2^(11 x+2)=2^(22 x+1)+1 is

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

Find all roots of the equation x^(6)-x^(5)+x^(4)-x^(2)+x-1=0.

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and beta .

Find the roots of the quadratic equation 6x^(2)-x-2=0 .

If nin Ngt1, find the sum of real parts of the roots of the equation z^(n)=(z+1)^(n).

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

Find the roots of the quadractic equation 3x^(2) -2sqrt(6)x+2=0 .