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1+n 3n+1 For each natural number n, Let - Find UA, and 4. n n EN EN If R={(x, y) & RxR: x² = 3 +5y}, S={(x,y) & R×R: y³ = 3x²+5}, Then find RoS and SoR Solve the simultaneous congruences: x = 3 (mod 2) x = 5 (mod 7) (x = 11 (mod 13)

1+n 3n+1 For each natural number n, Let - Find UA, and 4. n n EN EN If R={(x, y) & RxR: x² = 3 +5y}, S={(x,y) & R×R: y³ = 3x²+5}, Then find RoS and SoR Solve the simultaneous congruences: x = 3 (mod 2) x = 5 (mod 7) (x = 11 (mod 13)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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1+n 3n+1 For each natural number n, Let - Find UA, and 4. n n EN EN If R={(x, y) & RxR: x² = 3 +5y}, S={(x,y) & R×R: y³ = 3x²+5}, Then find RoS and SoR Solve the simultaneous congruences: x = 3 (mod 2) x = 5 (mod 7) (x = 11 (mod 13)
Transcribed Image Text:1+n 3n+1 For each natural number n, Let - Find UA, and 4. n n EN EN If R={(x, y) & RxR: x² = 3 +5y}, S={(x,y) & R×R: y³ = 3x²+5}, Then find RoS and SoR Solve the simultaneous congruences: x = 3 (mod 2) x = 5 (mod 7) (x = 11 (mod 13)
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