Question

Rezolva in multimea q ecuatiile:
a) 2supre3 x-1supra5=3supra10
b)xsupra2 - 4xsupra3+7xsupra6=7

2)Rezolva in multimea q ecuatiile:
a) lx+5l=3
b)l2x+1l=7

Answer 1

[tex]a) \frac{2}{3x} - \frac{1}{5}= \frac{3}{10} \\ \\ \frac{2}{3x} = \frac{3}{10}+ \frac{1}{5} \\ \\ \frac{2}{3x}= \frac{3}{10}+ \frac{2}{10} \\ \\ \frac{2}{3x} = \frac{5}{10} \\ \\ \frac{2}{3x}= \frac{1}{2} \\ \\ 3x=2*2 \\ \\ 3x=4 \\ \\ x= \frac{4}{3} [/tex]



[tex]b) \frac{x}{2} - \frac{4x}{3} + \frac{7x}{6} =7 \\ \\ \frac{3x}{6} - \frac{8x}{6} + \frac{7x}{6}= \frac{42}{6}|*6 \\ \\ 2x=42 \\ \\ x=21[/tex]



[tex]a)|x+5|=3 \\ \\ -3<x+5<3|-5 \\ \\-8<x<-2 \\ \\ x={[-7,-6,-5,-4,-3]}[/tex]



[tex]b)|2x+1|=7 \\ \\ -7<2x+1<7|-1 \\ \\ -8<2x<6|:2 \\ \\ -4<x<3 \\ \\ x={[-3,-2,-1,0,1,2]}[/tex]