I have several questions.

1. Find a root of 1/2*x^2 + x + 1 - e^x = 0



2. Find two of the four zeros of x^4 + 2*x^3 - 7*x^2 + 3



3. Find the equation of parabola that passes through (-4,0) and (1,0).



4. Solve for x: cot x cos^2 x = 2 cot x. Give all the solutions.



5. Find the 5th root of 32 (cos 5*(pi)/6 + i sin 5*(pi)/6).

Please help!