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Bài 2:
a: =a-b+c+a-c+b-b
=2a-b
b: =2x-5+x-a+x-5-a
=4x-10-2a
a) 2x + 1 = 3
2x = 2
x = 1
b) ( 2x - 5 ) + 17 = 6
( 2x - 5 ) = 6 - 17
( 2x - 5 ) = -11
2x = -11 + 5
2x = -6
x = -3
c) 10 - 2 x ( 4 - 3x ) = -4
2 x ( 4 - 3x ) = 14
4 - 3x = 7
3x = -3
x = -1
a) \(2^x.4=128\Rightarrow2^x=32=2^5\Rightarrow x=5\)
b) \(x^{17}=x\Rightarrow x^{17}-x=0\Rightarrow x\left(x^{16}-1\right)=0\Rightarrow x=0\) hay \(x=1\)
c) \(\left(2x-2\right)^3=8\Rightarrow\left(2x-2\right)^3=2^3\Rightarrow2x-2=2\Rightarrow2x=4\Rightarrow x=2\)
d) \(\left(x-6\right)^3=\left(x-6\right)^2\Rightarrow\left(x-6\right)^3-\left(x-6\right)^2=0\)
\(\Rightarrow\left(x-6\right)^2\left(x-6-1\right)=0\Rightarrow\Rightarrow\left(x-6\right)^2\left(x-7\right)=0\)
\(\Rightarrow x-6=0\) hay \(x-7=0\Rightarrow x=6\) hay \(x=7\)
e) \(\left(7x-11\right)^3=2^5.5^2+200\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=1000=10^3\Rightarrow7x-11=10\Rightarrow7x=21\Rightarrow x=3\)
f) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\Rightarrow2^{x-1}=24-\left[16-3\right]-3\)
\(\Rightarrow2^{x-1}=24-13-3\Rightarrow2^{x-1}=8=2^3\Rightarrow2x-1=3\Rightarrow2x=4\Rightarrow x=2\)
a) \(\left|x\right|-\frac{3}{4}=\frac{5}{3}\)
\(\left|x\right|=\frac{5}{3}+\frac{3}{4}\)
\(\left|x\right|=\frac{29}{12}\)
\(\orbr{\begin{cases}x=\frac{29}{12}\\x=-\frac{29}{12}\end{cases}}\)
a) 13-[7-(x+8)]=11
[7-(x+8)]=13-11
[7-(x+8)]=2
(x+8)=7-2
(x+8)=5
x=5-8
x=-3
d) khó nhất mk làm nhé :
\(\left|2x-1\right|=\left(-4\right)^2\)
\(\left|2x-1\right|=16\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=16\\2x-1=-16\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=17\\2x=-15\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{17}{2}\\x=-\frac{15}{2}\end{cases}}\)
a)
13/4+x=2
x=2-13/4
x=-5/4
b)
2x.17/12=3/7
2x =3/7;17/12
2x =36/119
x =36/119 : 2
x =18/119
c)
2x.17/12=19/7
2x =19/7:17/12
2x =228/119
x =228/119;2
x =114/119
d)
1/2x + 5/6=-3
1/2x =-3-5/6
1/2x =-23/6
x =-23/6:1/2
x =-23/3
a)
x - 17 = -5
x = ( - 5) + 17
x = 12
b )
2x + 1/4 = 3/2
2x = 3/2 - 1/4
2x = 6/4 - 1/4
2x = 5/4
x = 5/4 : 2
x = 5/4 x 1/2
x = 5/8
tk và kb với mk nha! mơn ạ!
a)\(x-17=-5\Rightarrow x=-5+17\Rightarrow x=12\)
b)\(2x+\frac{1}{4}=\frac{3}{2}\Rightarrow2x=\frac{3}{2}-\frac{1}{4}=\frac{5}{4}\)\(\Rightarrow x=\frac{5}{4}:2\Rightarrow x=\frac{5}{8}\)