Question

If y = (x⁴ – x² + 1)/(x² + √3x + 1) such that dy/dx = px + q then prove that p – q = tan(5π/12) 

Answer 1

y = (x⁴ – x² + 1)/(x² + √3x + 1)

Comparing the co-efficients of x and constant term,

we get, p = 2, q = – √3 Thus, p – q