Suppose α, β, γ are roots of the equation:
x3 + 3x2 – 24x + 1 = 0
Find the value of ∛α + ∛β + ∛γ
Let α = log10 2, β = log10 3, γ = log10 7. Which of the following choices is closest to an integer?
a) 2β b) 5α + β c) α + 2γ d) 2α + 5β e) 2α + β + γ
Hint: 22 × 35 = 9.72×102
