sum OF the roots

VITEEE 2015 Coaching › Algebra questions › sum OF the roots

\\\textsl{let N be sum of all the roots of the equation }\left (\frac{1}{2x} -1 \right )^{2009}=-1\\ \textit{find the last digit of N}

#Mathematics #Algebra

UP 0 DOWN 0 1 2
Post on FacebookPost anonymously?

2 Answers

xYz ·2010-03-04 20:46:58

\left(2x-1 \right)^{2009}=(2x)^{2009} \\ (2x)^{2009}-2009(2x)^{2008}+\binom{2009}{2}(2x)^{2007}-...=(2x)^{2009} \\ \text{sum of roots is } \\ \\ \frac{\binom{2009}{2}}{2009.2} =502 \\\\\text{so ur answer should be 2}

UP 0 DOWN 0
Post on FacebookPost anonymously?

Rasheed Ahmed ·2010-03-04 23:10:40

thanks xyz :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

sum OF the roots

2 Answers

Your Answer

Add Image

Similar Questions