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\(\text{a)}\Rightarrow x-1-x-1-x+2=5\)
\(\Rightarrow-x=5\)
\(\Rightarrow x=-5\)
\(\text{Vậy x=-5}\)
\(\text{b)}\left(2x-1\right)^2-\left(2x+3\right)^2=7\)
\(\Rightarrow\left(4x^2-4x+1\right)-\left(4x^2+12x+9\right)=7\)
\(\Rightarrow4x^2-4x+1-4x^2-12x-9=7\)
\(\Rightarrow-16x-8=7\)
\(\Rightarrow-16x=15\)
\(\Rightarrow x=\frac{-15}{16}\)
\(\text{Vậy }x=\frac{-15}{16}\)
\(\text{c)}\Rightarrow16x^2-9-\left(16x^2-8x+1\right)=8\)
\(\Rightarrow-9+8x-1=8\)
\(\Rightarrow8x=18\)
\(\Rightarrow x=\frac{18}{8}=\frac{9}{4}\)
\(\text{Vậy }x=\frac{9}{4}\)
\(\text{Phần d số rất lẻ, có thể bạn chép sai đề nên mình ko chữa nha~}\)
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\(x^2-4=8\left(x-2\right)\)
\(\Leftrightarrow x^2-8x+16=4\)
\(\Leftrightarrow\left(x-2\right)^2=4\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=4\\x-2=-4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-2\end{cases}}\)
Vậy...
\(x^2-4x+4=9\left(x-2\right)\)
\(\Leftrightarrow x^2-13x+22=0\)
\(\Leftrightarrow\left(x+\frac{13}{2}\right)^2=\frac{81}{4}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{-21}{2}\end{cases}}\)
Vậy...
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a) \(3x\left(x-2\right)-4x+8=0\)
\(\Leftrightarrow3x\left(x-2\right)-4\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(3x-4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\3x-4=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=\frac{4}{3}\end{cases}}\)
b) \(3\left(2x-1\right)^2+2-4x=0\)
\(\Leftrightarrow3\left(2x-1\right)^2-2\left(2x-1\right)=0\)
\(\Leftrightarrow\left(2x-1\right)\left(6x-5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=0\\6x-5=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{5}{6}\end{cases}}\)
\(4x\left(x+1\right)=8\left(x+1\right)\)
\(\Leftrightarrow x\left(x+1\right)-2\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
\(4x\left(x+1\right)=8\left(x+1\right)\)
\(4x\left(x+1\right)-8\left(x+1\right)=0\)
\(\left(x+1\right)\left(4x-8\right)=0\)
\(4\left(x+1\right)\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
Vậy x = { -1; 2 }