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Rezolvati ecuatiile in multimea indicata:
a)5x=7,x apartine multimii Z
b)2x=-3+(-2) la a puterea a doua ,x apartine multimii Q
c)3x+4x=21,x apartine multimii N
d)11y-4y=6-(-15),y apartine multimmi Z
e)x(9+4)=3 la puterea a doua+2 la puterea a doua,x apartine multimii Q
f)x+2x+3x=-42,x apartine multimii N


Răspuns :

[tex]a)5x = 7[/tex]

[tex]x = \frac{7}{5} \: nu \: apartine \: lui \: z[/tex]

[tex]b)2x = - 3 + {( - 2)}^{2} [/tex]

[tex]2x = - 3 + 4[/tex]

[tex]2x = 1[/tex]

[tex]x = \frac{1}{2} \: apartine \: lui \: q[/tex]

[tex]c)3x + 4x = 21[/tex]

[tex]7x = 21[/tex]

[tex]x = \frac{21}{7} [/tex]

[tex]x = 3 \: apartine \: lui \: n[/tex]

[tex]d)11y - 4y = 6 - ( - 15)[/tex]

[tex]7y = 6 + 15[/tex]

[tex]7y = 21[/tex]

[tex]y = \frac{21}{7} [/tex]

[tex]y = 3 \: apartine \: lui \: z[/tex]

[tex]e)x(9 + 4) = {3}^{2} + {2}^{2} [/tex]

[tex]9x + 4x = 9 + 4[/tex]

[tex]13x = 13[/tex]

[tex]x = \frac{13}{13} [/tex]

[tex]x = 1 \: apartine \: lui \: q[/tex]

[tex]f)x + 2x + 3x = - 42[/tex]

[tex]6x = - 42[/tex]

[tex]x = - \frac{42}{6} [/tex]

[tex]x = - 7 \: nu\: apartine \: lui \: n[/tex]