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Trả lời:
a, ( - x + 5 )2 - 16 = ( - 22 ) . 5
=> ( - x + 5 )2 - 16 = - 20
=> ( - x + 5 )2 = - 20 + 16
=> ( - x + 5 )2 = - 4 ( vô lí )
Vậy không tìm được x thỏa mãn đề bài.
b, 50 - ( 20 - x ) = - x - ( 45 - 85 )
=> 50 - 20 + x = - x - ( - 40 )
=> 30 + x = - x + 40
=> x + x = 40 - 30
=> 2x = 10
=> x = 10 : 2
=> x = 5
Vậy x = 5
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(\left(-2\right)^2-2x^2=-50.\)
\(\Leftrightarrow4-2x^2=-50\)
\(\Leftrightarrow2x^2-54=0\)
\(\Leftrightarrow x^2-27=0\)
\(\Leftrightarrow\left(x-3\sqrt{3}\right)\left(x+3\sqrt{3}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\sqrt{3}\\x=-3\sqrt{3}\end{cases}}\)
\(\left(-2\right)^2-2x^2=-50\)
\(\Leftrightarrow x^2=\frac{-50-\left(-2\right)^2}{-2}\)
\(\Leftrightarrow x^2=27\)
\(\Leftrightarrow x=\pm\sqrt{27}\)
\(\Leftrightarrow x=\pm3\sqrt{3}\)
\(\frac{2}{x}-\frac{5}{x}=-9\)
\(\Leftrightarrow\frac{2-5}{x}=-9\)
\(\Leftrightarrow-3=-9x\)
\(\Leftrightarrow x=\frac{-3}{-9}=\frac{1}{3}\)
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\(50⋮\left(x+1\right);85⋮\left(x+1\right)\\ Vậy:\left(x+1\right)\inƯCLN\left(50;85\right)\Leftrightarrow\left(x+1\right)\inƯC\left(5\right)=\left\{1;5\right\}\\ Ta.có:x+1=1..hoặc.x+1=5.\\ Vậy:x=0.hoặc.x=4\\ Mà:5< x< 15\\ Vậy:Không.có.x.thoả\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
50 - (20 - x) = -x -(45 - 85)
=> 50 - 20 + x = -x - 45 + 85
=> 30 + x = -x + 40
=> 30 + x + x - 40 = 0
=> -10 + 2x = 0
=> 2x = 10
=> x = 5
Vậy x = 5