Tìm x: x2-9x+7=0
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c: \(\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{7}\\x=-\sqrt{7}\\x=-5\\x=5\end{matrix}\right.\)
a: \(\Leftrightarrow\left[{}\begin{matrix}3x+2=4\\3x+2=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-2\end{matrix}\right.\)
\(\left(x^2-9\right)^2-\left(x-3\right)^2=0\)
\(\Leftrightarrow\left(x-3\right)^2\left(x+3\right)^2-\left(x-3\right)^2=0\)
\(\Leftrightarrow\left(x-3\right)^2\left[\left(x+3\right)^2-1\right]=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\left(x-3\right)^2=0\\\left(x+3\right)^2=1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x+3=1\\x+3=-1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\\x=-4\end{matrix}\right.\)
ĐKXĐ: \(x\ne-\dfrac{5}{6}\)
a) Để A>0 thì \(\left[{}\begin{matrix}7x-8>0\\6x+5< 0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}7x>8\\6x< -5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x>\dfrac{8}{7}\\x< -\dfrac{5}{6}\end{matrix}\right.\)
b) Để A<0 thì \(\left\{{}\begin{matrix}6x+5>0\\7x-8< 0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x>-\dfrac{5}{6}\\x< \dfrac{8}{7}\end{matrix}\right.\Leftrightarrow-\dfrac{5}{6}< x< \dfrac{8}{7}\)
c) Để A=0 thì \(\dfrac{7x-8}{6x+5}=0\)
\(\Leftrightarrow7x-8=0\)
\(\Leftrightarrow x=\dfrac{8}{7}\)
`a)(2x-1)^2-0,25=0`
`<=>(2x-1-0,5)(2x-1+0,5)=0`
`<=>(2x-1,5)(2x-0,5)=0`
`<=>[(x=0,75)(x=0,25):}`
`b)x^2+9=6x`
`<=>(x-3)^2=0`
`<=>x-3=0`
`<=>x=3`
`c)(x^2-4)-3x-6=0`
`<=>(x-2)(x+2)-3(x+2)=0`
`<=>(x+2)(x-2-3)=0`
`<=>(x+2)(x-5)=0`
`<=>[(x=-2),(x=5):}`
a: =>(2x-1-0,5)(2x-1+0,5)=0
=>(2x-1,5)(2x-0,5)=0
=>x=0,25 hoặc x=0,75
b: =>x^2-6x+9=0
=>(x-3)^2=0
=>x-3=0
=>x=3
c: =>(x-2)(x+2)-3(x+2)=0
=>(x+2)(x-5)=0
=>x=5 hoặc x=-2
\(x^2-9x+7=0\)
\(\Rightarrow2x^2-2x-7x+7=0\)
\(\Rightarrow2x\left(x-1\right)+7\left(x-1\right)=0\)
\(\Rightarrow\left(2x+7\right)\left(x-1\right)=0\)
\(\Rightarrow x=-\frac{7}{2}\)
\(\Rightarrow1.x=1\)
P/s: không chắc nha...