Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁) 2x₁+x₂+...+xn -3" Y = cannot be solved with positive integers X₁ X₂ Xn, M.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 12E
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Prove that for integers y=1 the equation
3 h-n (2 x ₁ + x₂ + .. + x₂) +3²(1)(2x₁+x₂+.+xn-₁) +...+ 3^-1 (2²₁)
Y =
2x₁+x₂+...+% -3"
cannot be solved with positive integers X₁₁X₂... Xny no
Transcribed Image Text:Prove that for integers y=1 the equation 3 h-n (2 x ₁ + x₂ + .. + x₂) +3²(1)(2x₁+x₂+.+xn-₁) +...+ 3^-1 (2²₁) Y = 2x₁+x₂+...+% -3" cannot be solved with positive integers X₁₁X₂... Xny no
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