1. $\frac{5}{11}x+4=6\frac{1}{11}$
$\frac{5}{11}x=\frac{23}{11}$
$x=\frac{23}{11}:\frac{5}{11}=\frac{23}{5}$
2. $(x-1)^2=25=5^2=(-5)^2$
$\Rightarrow x-1=5$ hoặc $x-1=-5$
$\Rightarrow x=6$ hoặc $x=-4$
3.
$(2x-1)^3=-64=(-4)^3$
$\Rightarrow 2x-1=-4$
$\Rightarrow 2x=-3$
$\Rightarrow x=\frac{-3}{2}$
4.
$2.3^x-405=3^{x-1}$
$6.3^{x-1}-405=3^{x-1}$
$6.3^{x-1}-3^{x-1}=405$
$5.3^{x-1}=405$
$3^{x-1}=81=3^4$
$\Rightarrow x-1=4$
$\Rightarrow x=5$
5.
$2|x+1|-0,5=\sqrt{\frac{1}{9}}=\frac{1}{3}$
$\Rightarrow 2|x+1|=0,5+\frac{1}{3}=\frac{5}{6}$
$\Rightarrow |x+1|=\frac{5}{12}$
$\Rightarrow x+1=\pm \frac{5}{12}$
$\Rightarrow x=\frac{-7}{12}$ hoặc $x=\frac{-17}{12}$
6.
$|2x+1|=|3-x|$
$\Rightarrow 2x+1=3-x$ hoặc $2x+1=x-3$
$\Leftrightarrow x=\frac{2}{3}$ hoặc $x=-4$
1. 511x+4=6111
511x=2311
x=2311:511=235
2. (x−1)2=25=52=(−5)2
⇒x−1=5 hoặc x−1=−5
⇒x=6 hoặc x=−4
3.
(2x−1)3=−64=(−4)3
⇒2x−1=−4
⇒2x=−3
⇒x=−32