0 votes 0 votes Unknown Category homework-6 + – [ Jiren ] asked Mar 5, 2023 • edited Mar 5, 2023 by [ Jiren ] [ Jiren ] 235 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Using Direct Proof : Let’s assume n = 2x+1 (using definitions of odd numbers). n*n = (2x+1)(2x+1) = 2(2x*x+2x)+1 => n*n = 2(some integer)+1. Therefore n*n is odd. Using Direct Proof : Let’s assume n = 2x (using definitions of even numbers). n*n = (2x)(2x) = 2(2x*x) => n*n = 2(some integer). Therefore n*n is even. (x,y are some integers) KG answered Mar 5, 2023 • edited Mar 5, 2023 by KG KG comment Share Follow See all 0 reply Please log in or register to add a comment.