Question

Exercitiul 2,3...
Dau ce vreti voiiii
Dau si coaroana

Answer 1

3)
a)=2ⁿ(2³+2²+2¹+1)=2ⁿ(8+4+2+1)=2ⁿx15⇒nr.se poate imparti la 15 fara sa dea rest⇒nr.este divizibil cu 15.
b)=3²ⁿ(3²-3¹+2)=3²ⁿ(9-3+2)=3²ⁿx8⇒nr.se poate imparti la 4 fara sa dea rest⇒nr.este divizibil cu 4.
c)=2³ⁿ(3x2¹-5+4x2²)=2³ⁿ(6-5+16)=2³ⁿx17⇒nr.se poate imparti la 17 fara sa dea rest⇒nr.este divizibil cu 17.
cred ca este o greseala de tipar in exercitiu trebuie sa fie 4x(2³ⁿ+2), pentru ca nr.sa fie divizibil cu 17.

2)
a) x=-10,-5,-2,-1,1,2,5,10
-10/-10=1; -10/-5=2; -10/-2=5;-10/-1=10; -10/1=-10; -10/2=-5; -10/5=-2; -10/10=-1
b) x-2=-7⇒x=-7+2⇒x=-5
x-2=-1⇒x=2-1⇒x=1
x-2=1⇒x=1+2⇒x=3
x-2=7⇒x=7+2⇒x=9

c) 2x+1=-15⇒2x=-15-1⇒2x=-16⇒x=-16:2⇒x=-8
2x+1=-5⇒2x=-5-1⇒2x=-6⇒x=-6:2⇒x=-3
2x+1=-3⇒2x=-3-1⇒2x=-4⇒x=-4:2⇒x=-2
2x+1=-1⇒2x=-1-1⇒2x=-2⇒x=-2:2⇒x=-1
2x+1=1⇒2x=1-1⇒2x=0⇒x=0
2x+1=3⇒2x=3-1⇒2x=2⇒x=1
2x+1=5⇒2x=5-1⇒2x=4⇒x=4:2⇒x=2
2x+1=15⇒2x=15-1⇒2x=14⇒x=14:2⇒x=7

d) x+5=-24⇒x=-24-5⇒x=-29
x+5=-12⇒x=-17
x+5=-8⇒x=-13
x+5=-6⇒x=-11
x+5=-4⇒x=-9
x+5=-3⇒x=-8
x+5=-2⇒x=-7
x+5=-1⇒x=-6
x+5=1⇒x=-4
x+5=2⇒x=-3
x+5=3⇒x=-2
x+5=4⇒x=-1
x+5=6⇒x=1
x+5=8⇒x=3
x+5=12⇒x=7
x+5=24⇒x=19