Răspuns :
17. a)
[tex] {2}^{96} \times 21 < {2}^{97} \times 21[/tex]
[tex]x = {2}^{96} (1 + {2}^{2} + {2}^{4} )[/tex]
[tex]x = {2}^{96} (1 + 4 + 16) = {2}^{96} \times 21[/tex]
[tex]y = {2}^{97} ( {2}^{4} + {2}^{2} + 1 ) = {2}^{97} \times 21[/tex]
b.
[tex]x= {3}^{53} ( {3}^{4} - {3}^{2} - 1) [/tex]
[tex]x = {3}^{53} \times (81 - 9 - 1) = {3}^{53} \times 71[/tex]
[tex]y = {5}^{43} - {125}^{14} = {5}^{43} - {5}^{3 \times 14} [/tex]
[tex]y = {5}^{43} - {5}^{42} = {5}^{42} (5 - 1)[/tex]
[tex]y = {5}^{42} \times 4[/tex]
15.
a. x={1,2,3,4,5,6}
b.x=0
c.x=6
e.x=2
f.x={1,2,3}
g.x=0
h.x=1
i.x=2
COROANA?
[tex] {2}^{96} \times 21 < {2}^{97} \times 21[/tex]
[tex]x = {2}^{96} (1 + {2}^{2} + {2}^{4} )[/tex]
[tex]x = {2}^{96} (1 + 4 + 16) = {2}^{96} \times 21[/tex]
[tex]y = {2}^{97} ( {2}^{4} + {2}^{2} + 1 ) = {2}^{97} \times 21[/tex]
b.
[tex]x= {3}^{53} ( {3}^{4} - {3}^{2} - 1) [/tex]
[tex]x = {3}^{53} \times (81 - 9 - 1) = {3}^{53} \times 71[/tex]
[tex]y = {5}^{43} - {125}^{14} = {5}^{43} - {5}^{3 \times 14} [/tex]
[tex]y = {5}^{43} - {5}^{42} = {5}^{42} (5 - 1)[/tex]
[tex]y = {5}^{42} \times 4[/tex]
15.
a. x={1,2,3,4,5,6}
b.x=0
c.x=6
e.x=2
f.x={1,2,3}
g.x=0
h.x=1
i.x=2
COROANA?