|x-0,9|=0
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\(\Rightarrow\left[{}\begin{matrix}x+2=0\\x-4=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x+2=0\\x-4=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)
\(\Leftrightarrow10-18:x=1\)
\(\Leftrightarrow18:x=9\)
hay x=2
\(\left(x^2+1\right)\left(x-5\right)=0\\ \Rightarrow\left\{{}\begin{matrix}x^2+1=0\left(vô.lí.vì.x^2\ge0,1>0\right)\\x-5=0\end{matrix}\right.\\ \Rightarrow x=5\)
\(\left(x^2+1\right)\left(x-5\right)=0\)
TH1 : x^2 + 1 = 0 ( vô lí vì x^2 + 1 > 0 )
TH2 : x - 5 = 0 <=> x = 5
Vậy x = 5
`5/(-x^2+5x-6)+(x+3)/(2-x)=0`
Đk:`x ne 2,x ne 3`
`pt<=>-5/(x^2-5x+6)-(x+3)/(x-2)=0`
`<=>-5-(x+3)(x-3)=0`
`<=>(x+3)(x-3)=-5`
`<=>x^2-9=-5`
`<=>x^2-4=0`
`<=>(x-2)(x+2)=0`
`x ne 2=>x-2 ne 0`
`<=>x+2=0`
`<=>x=-2`
Vậy `S={-2}`
\(\sqrt{x}+\dfrac{1}{2\sqrt{x}}=3\)
\(\Leftrightarrow\dfrac{2\sqrt{x}\sqrt{x}}{2\sqrt{x}}+\dfrac{1}{2\sqrt{x}}=\dfrac{3.2\sqrt{x}}{2\sqrt{x}}\)
\(\Leftrightarrow\dfrac{2x}{2\sqrt{x}}-\dfrac{6\sqrt{x}}{2\sqrt{x}}+\dfrac{1}{2\sqrt{x}}=0\)
\(\Leftrightarrow2x-6\sqrt{x}+1=0\)
\(\Leftrightarrow...\)
\(\Rightarrow2x+1=6\sqrt{x}\)
\(\Rightarrow2x-6\sqrt{x}+1=0\)
\(\Rightarrow\sqrt{x}=\dfrac{3\pm\sqrt{7}}{2}\)
\(\Rightarrow x=\left(\dfrac{3\pm\sqrt{7}}{2}\right)^2=\dfrac{8\pm3\sqrt{7}}{2}\)
\(\Leftrightarrow x-\left[3-x+3+x-2\right]=0\)
=>x=4
|x-0,9|=0
=>x-0,9=0
=>x=0,9