Question

Det nr nat n pt care 2n-3 divide pe 5n+2

Answer 1

Explicație pas cu pas:

2n-3|5n+2=>2n-3|10n+4

2n-3|2n-3=>2n-3|10n-15

=>2n-3|10n+4-10n+15=>2n-3|19 => 2n-3€D19 in Z =>

2n-3€{-19,-1,1,19} =>

2n€{-16,2,4,22} =>

n€{-8,1,2,11}

n€N =>n€{1,2,11}