Question

Consider α, β, γ are the roots of x³ - x² - 3x + 4 = 0 such that tan^-1α + tan^-1β + tan^-1γ = θ If the positive value of tan(θ) is p/q, where p and q are natural numbers, then find the value of(p + q)   

Answer 1

Given equation is

x³ - x² - 3x + 4 = 0

Hence, the value of(p + q) is 9.