Discussion1_text - 2 x 2 5 y 2 14 Exercise 3 Let x be a...

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ECS20 Discussion 1 Week 1: March 29-April 1, 2016 Exercise 1 Let a and b be two real numbers; a) Show that ( a 2 b 2 ) 2 ( a 2 b 2 ) 2 (2 ab ) 2 b) Show that a 4 b 4 ( a b )( a b )( a 2 b 2 ) Exercise 2 a) Show that there are no positive integer number n such that n 2 n 3 100 b) Prove that there are no solutions in integers x and y to the equation
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Unformatted text preview: 2 x 2 5 y 2 14 Exercise 3 Let x be a real number. Solve x 2 7 1 x 2 Exercise 4 Three consecutive integers add up to 51. What are those three integers?...
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