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1) 52-|x-3|=80
<=> |x-3|=28
<=> x-3=28 hoặc x-3=-28
<=> x=31 hoặc x=-25
Đáp số x= 31 hoặc x=-25
2) x*(x+2)=0
<=> x=0 hoặc x+2=0
<=> x=0 hoặc x=-2
vậy .......
\(4\left(x-2\right)+10=5-3x\)
\(\Rightarrow4x-8+10=5-3x\)
\(\Rightarrow4x+3x=5-10+8\)
\(\Rightarrow7x=3\)
\(\Rightarrow x=\frac{3}{7}\)
\(4x-8-10=7-x\)
\(\Rightarrow4x+x=7+10+8\)
\(\Rightarrow5x=25\)
\(\Rightarrow x=5\)
\(\left|2x-1\right|=3\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}}\)
\(\left|1-2x\right|=5\)
\(\Leftrightarrow\orbr{\begin{cases}1-2x=5\\1-2x=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=3\end{cases}}}\)
\(\left|4+x\right|=10\)
\(\Leftrightarrow\orbr{\begin{cases}4+x=10\\4+x=-10\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-14\end{cases}}}\)
1/ a) \(x^2-x-1⋮x-1\)
=>\(x.\left(x-1\right)-1⋮x-1\)
=>\(-1⋮x-1\)(vì x.(x-1)\(⋮\)x-1)
=>x-1\(\inƯ\left(-1\right)\)
Đến đay tự làm
b/c/d/e/ tương tự
\(\left(-3x+2\right)-\left(5-3x\right)=-3\)
\(\Rightarrow-3x+2-5+3x=-3\)
\(\Rightarrow-3x+3x=-3+5-2\)
\(\Rightarrow0x=0\Rightarrow x\in Z\)
\(3+x-\left(3x-1\right)=6-2x\)
\(\Rightarrow3+x-3x+1=6-2x\)
\(\Rightarrow x-3x+2x=6-1-3\)
\(\Rightarrow0x=2\left(loại\right)\)
\(\left(x-5\right)\left(3x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\3x+4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-\frac{4}{3}\end{cases}}}\)
\(7x\left(2x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}7x=0\\2x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{2}\end{cases}}}\)
\(\left(3x-1\right)2x=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=0\\2x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=0\end{cases}}}\)
Bài 1:
a) Ta có: \(x\left(x^2-4\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-2=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
Vậy: \(x\in\left\{0;2;-2\right\}\)
b) Ta có: \(\left(2x-3\right)+\left(-3x\right)-\left(x-5\right)=40\)
\(\Leftrightarrow2x-3-3x-x+5=40\)
\(\Leftrightarrow-2x+2=40\)
\(\Leftrightarrow-2x=38\)
hay x=-19
Vậy: x=-19
Bài 2:
a) Ta có: \(-45\cdot12+34\cdot\left(-45\right)-45\cdot54\)
\(=-45\cdot\left(12+34+54\right)\)
\(=-45\cdot100\)
\(=-4500\)
b) Ta có: \(43\cdot\left(57-33\right)+33\cdot\left(43-57\right)\)
\(=43\cdot57-43\cdot33+43\cdot33-33\cdot57\)
\(=43\cdot57-33\cdot57\)
\(=57\cdot\left(43-33\right)\)
\(=57\cdot10=570\)
\(3^{x+1}=9^x\)
\(\Leftrightarrow3^{x+1}=3^{2x}\)
\(\Leftrightarrow x+1=2x\)
\(\Leftrightarrow x+1=x+x\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
\(2^{3x+2}=4^{x+5}\)
\(\Leftrightarrow2^{3x+2}=2^{2x+10}\)
\(\Leftrightarrow3x+2=2x+10\)
\(\Leftrightarrow3x=2x+8\)
\(\Leftrightarrow x=8\)
Vậy \(x=8\)
\(2^{x+2}-2^x=96\)
\(\Leftrightarrow2^x.2^2-2^x.1=96\)
\(\Leftrightarrow2^x\left(2^2-1\right)=96\)
\(\Leftrightarrow2^x.3=96\)
\(\Leftrightarrow2^x=\frac{96}{3}\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
Chờ xíu nha ⏳