Question

exercitiul 10 repedee

Answer 1

a)6/(x-2)∈N
x-2  ∈ divizorilor lui 6
x-2  ∈ {1,2,3,6}
x-2=1  x=3
x-2=2  x=4
x-2=3  x=5
x-2=6  x=8           x ∈ {3,4,5,8}

b) 7/(x-2)∈Z
x-2 ∈ divizorilor lui 7
x-2 ∈ {1,7,-1,-7}
x-2=1  x=3
x-2=7  x=9
x-2=-1  x=1
x-2=-7  x=-5          x ∈ {3,9,1,-5}

c) 6/(x-2) ∈ Z
x-2 ∈ divizorilor lui 6
x-2 ∈ {1,2,3,6,-1,-2,-3,-6}
x-2=1  x=3
x-2=2  x=4
x-2=3  x=5
x-2=6  x=8
x-2=-1  x=1
x-2=-2  x=0
x-2=-3  x=-1
x-2=-6  x=-4    x ∈ {3,4,5,8,1,0,-1,-4}

d) 8/(x-4) ∈ N
x-4 ∈ divizorilor lui 8
x-4 ∈ {1,2,4,8}
x-4=1  x=5
x-4=2  x=6
x-4=4  x=8
x-4=8  x=12       x ∈ {5,6,8,12}