cho mik hỏi với tìm x biết: 43+2.(x-342)=123
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a) \(645-\left(27+x\right)-342=123\)
\(\Leftrightarrow\)\(-24-x=123\)
\(\Leftrightarrow\)\(x=123+24=147\)
Vậy...
b) \(\left|x\right|+87=123\)
\(\Leftrightarrow\)\(\left|x\right|=123-87=36\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=36\\x=-36\end{cases}}\)
Vậy....
c) \(\left|x-12\right|=42\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x-12=42\\x-12=-42\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=54\\x=-30\end{cases}}\)
Vậy...
a) 645 - ( 27 + x ) - 342 = 123
645 - ( 27 + x ) = 123 + 342
645 - ( 27 + x ) = 465
27 + x = 645 - 465
27 + x = 180
x = 180 - 27
x = 53
b) ! x ! + 87 = 123
! x ! = 123 - 87
! x ! = 36
-> x = 36 hoặc x = -36
c) ! x - 12 ! = 42
-> x - 12 = 42 hoặc x - 12 = -42
Nếu x - 12 = 42 thì ta có : Nếu x - 12 = -42 thì ta có :
x = 42 + 12 x = -42 + 12
x = 54 x = -30
\(\dfrac{x+35}{65}+\dfrac{x+39}{61}=\dfrac{x+43}{57}+\dfrac{x+47}{53}\)
\(\Leftrightarrow\dfrac{x+35}{65}+1+\dfrac{x+39}{61}+1=\dfrac{x+43}{57}+1+\dfrac{x+47}{53}+1\)
\(\Leftrightarrow\dfrac{x+100}{65}+\dfrac{x+100}{61}-\dfrac{x+100}{57}-\dfrac{x+100}{53}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\dfrac{1}{65}+\dfrac{1}{61}-\dfrac{1}{57}-\dfrac{1}{53}\ne0\right)=0\Leftrightarrow x=-100\)
Ta có:
\(\dfrac{x+35}{65}+\dfrac{x+39}{61}=\dfrac{x+43}{57}+\dfrac{x+47}{53}\\ \Rightarrow\left(\dfrac{x+35}{65}+1\right)+\left(\dfrac{x+39}{61}+1\right)=\left(\dfrac{x+43}{57}+1\right)+\left(\dfrac{x+47}{53}+1\right)\\ \Rightarrow\dfrac{x+100}{53}+\dfrac{x+100}{61}=\dfrac{x+100}{57}+\dfrac{x+100}{53}\\ \Rightarrow\left(x+100\right)\left(\dfrac{1}{65}+\dfrac{1}{61}-\dfrac{1}{57}-\dfrac{1}{53}\right)=0\)
Ta thấy:
\(\dfrac{1}{65}< \dfrac{1}{57}\\ \dfrac{1}{61}< \dfrac{1}{53}\\ \Rightarrow\left(\dfrac{1}{65}+\dfrac{1}{62}\right)-\left(\dfrac{1}{57}+\dfrac{1}{53}\right)< 0\)
Hay \(\dfrac{1}{65}+\dfrac{1}{62}-\dfrac{1}{57}-\dfrac{1}{53}\ne0\)
\(\Rightarrow x+100=0\\ \Rightarrow x=0-100\\ \Rightarrow x=-100\)
Vậy \(x=-100\)
43 + 2.(x - 342 ) = 123
2.(x-342 ) = 123 - 43
2.(x-342) = 80
x - 342 = 80 : 2
x - 342 = 40
x = 40 + 342
x = 382
ket qua la 382