Tìm x, biết: (x - 2,5)\(^4\)= (x - 2,5)\(^2\)
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4 : x = x : 2,5
\(\Rightarrow\)x2 = 4*2,5 = 10
\(\Rightarrow\)x = \(\pm\)\(\sqrt{10}\)
\(4:x=x:2,5\)
\(\Rightarrow x.x=4.2,5\)
\(\Rightarrow2x=10\)
\(\Rightarrow x=\frac{10}{2}\)
\(\Rightarrow x=5\)
Vậy.......

a/|x|-2,5=27,5
=>|x|=27,5+2,5=30
=>x=30 hoặc x=-30
b/\(\dfrac{3}{4}+\dfrac{2}{5}.x=\dfrac{29}{60}\)
=>\(\dfrac{2}{5}.x\)=\(\dfrac{29}{60}-\dfrac{3}{4}\)=\(\dfrac{-4}{15}\)
=>x=\(\dfrac{-4}{15}:\dfrac{2}{5}\)=\(\dfrac{-2}{3}\)
c/(x-1)\(^5\)=-32
=>x-1=-2 vì (-2)\(^5\)=-32
=>x=-2+1=-1
d/\(\dfrac{4}{5}.x+0,5=4.5\)
=>\(\dfrac{4}{5}.x+0,5=20\)
=>\(\dfrac{4}{5}.x=20-0,5=19,5\)
=>\(x=19,5:\dfrac{4}{5}\)=\(\dfrac{195}{8}\)

a: \(\Leftrightarrow\left(x-\dfrac{2}{5}\right):\dfrac{3}{2}=-\dfrac{5}{4}+\dfrac{5}{2}=\dfrac{5}{4}\)
\(\Leftrightarrow x-\dfrac{2}{5}=\dfrac{5}{4}\cdot\dfrac{3}{2}=\dfrac{15}{8}\)
hay x=91/40
b: \(\Leftrightarrow\left(2.5x-3.6\right)=-1\cdot\dfrac{12}{7}=\dfrac{-12}{7}\)
=>2,5x=66/35
hay x=132/175
c: \(\Leftrightarrow\left(\dfrac{15}{4}-2x\right)=\dfrac{19}{9}:\dfrac{4}{3}=\dfrac{19}{9}\cdot\dfrac{3}{4}=\dfrac{19}{12}\)
=>2x=15/4-19/12=45/12-19/12=26/12
=>x=13/12

\(\frac{x}{-2,5}=4,5\)
\(\Leftrightarrow x=4,5\times\left(-2,5\right)\)
\(\Leftrightarrow x=-\frac{45}{4}=-11,25\)
Vậy \(x=-\frac{45}{4}\)
~hok tốt~
Nhầm đề bài rk...lm lại nek:
\(x=\frac{4}{5}\times\left(-2,5\right)\)
\(\Leftrightarrow x=-2\)
VẬY>>>>>
Cho sửa lại nhé :
( x - 2,5 )4 = ( x - 2,5 )2
=> ( x - 5 )4 - ( x - 5 )2 = 0
=> ( x - 5 )2 . [ ( x - 5 )2 - 1 ] = 0
\(\Rightarrow\orbr{\begin{cases}\left(x-2,5\right)^2=0\\\left(x-2,5\right)^2-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-2,5=0\\\left(x-2,5\right)^2=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3,5\\x=1,5\end{cases}}\)
( x - 2,5 )4 = ( x - 2,5 )2
=> ( x - 5 )4 - ( x - 5 )2 = 0
=> ( x - 5 )2 . [ ( x - 5 )2 - 1 ] = 0
\(\Rightarrow\orbr{\begin{cases}\left(x-5\right)^2=0\\\left(x-5\right)^2-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-5=0\\\left(x-5\right)^2=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x-5=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=6\end{cases}}\)