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\(=\left(x-y\right)^2-9=\left(x-y-3\right)\left(x-y+3\right)\)

\(x^2-2xy-9+y^2=\left(x^2-2xy+y^2\right)-9=\left(x-y\right)^2-3^2=\left(x-y-3\right).\left(x-y+3\right)\)

\(\left(x+2\right)^2-9=0\)

\(\Rightarrow\left(x+2\right)^2=9\)

\(\Rightarrow\left[{}\begin{matrix}x+2=3\\x+2=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-5\end{matrix}\right.\)

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b.

\(\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x< 2\\x>\dfrac{9}{2}\end{matrix}\right.\\-\dfrac{1}{3}< x< 7\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}-\dfrac{1}{3}< x< 2\\\dfrac{9}{2}< x< 7\end{matrix}\right.\)

Hay \(S=\left(-\dfrac{1}{3};2\right);\left(\dfrac{9}{2};7\right)\)

d.

\(\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x\le-\dfrac{11}{5}\\x\ge7\end{matrix}\right.\\-\dfrac{1}{2}< x< 3\end{matrix}\right.\) \(\Rightarrow x\in\varnothing\) hay BPT vô nghiệm

a: Ta có: \(\left(x-3\right)^2-x\left(x+5\right)=9\)

\(\Leftrightarrow x^2-6x+9-x^2-5x=9\)

\(\Leftrightarrow x=0\)

b: Ta có: \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)

\(\Leftrightarrow x^3+8-x^3-2x=15\)

\(\Leftrightarrow2x=-7\)

hay \(x=-\dfrac{7}{2}\)

P6:

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2. been

3. bought

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P7:

1. T

2. F

3. F

4. F

P6:

1. biggest

a: =>x=13/52+8/52=21/52

b: =>x=1/36-27/36=-26/36=-13/18

c: =>x=24/60+15/60-20/60=19/60

d: =>x/15=9/15-10/15=-1/15

=>x=-1

a, x = 21/52 ; b x = -13/18 

c, x = 19/60 ; d, x = -1