mn giúp em với, e đang cần gấp
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\(x+\sqrt{4-x^2}=2\)
\(\Leftrightarrow4-x^2=\left(2-x\right)^2\)
\(\Leftrightarrow4-x^2=4-8x+x^2\)
\(\Leftrightarrow4-x^2-4+8x-x^2=0\)
\(\Leftrightarrow8x-2x^2=0\)
\(\Leftrightarrow2x\left(4-x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\4-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
\(x+\sqrt{1-x^2}=1\)
\(\Leftrightarrow1-x^2=\left(1-x\right)^2\)
\(\Leftrightarrow1-x^2=1-2x+x^2\)
\(\Leftrightarrow1-x^2-1+2x-x^2=0\)
\(\Leftrightarrow2x-2x^2=0\)
\(\Leftrightarrow2x\left(1-x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\1-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
Công viên nước ở Thái Bình thật đẹp.Có những cái cầu trượt cong queo trượt xuống hồ bơi.
7. How often does he go to the library?
8. ....is the shortest student in his class.
9......is her address?
10... is shorter than Ba.
1) \(\sqrt{2x-5}=7\)
\(\left(\sqrt{2x-5}\right)^2=7^2\)
\(2x-5=49\)
\(2x=54\)
\(x=27\)
2) \(3+\sqrt{x-2}=4\)
\(\sqrt{x-2}=1\)
\(\left(\sqrt{x-2}\right)^2=1^2\)
\(x-2=1\)
\(x=3\)
1) \(\sqrt{2x-5}=7\left(đk:x\ge\dfrac{5}{2}\right)\)
\(\Leftrightarrow2x-5=49\Leftrightarrow2x=54\Leftrightarrow x=27\left(tm\right)\)
2) \(3+\sqrt{x-2}=4\left(đk:x\ge2\right)\)
\(\Leftrightarrow\sqrt{x-2}=1\Leftrightarrow x-2=1\Leftrightarrow x=3\)
3) \(\Leftrightarrow\sqrt{\left(x-1\right)^2}=1\Leftrightarrow\left|x-1\right|=1\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)
4) \(\Leftrightarrow\sqrt{\left(x-2\right)^2}=1\Leftrightarrow\left|x-2\right|=1\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=1\\x-2=-1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)
5) \(\Leftrightarrow\sqrt{\left(2x-1\right)^2}=\sqrt{\left(x+4\right)^2}\)
\(\Leftrightarrow\left|2x-1\right|=\left|x+4\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=x+4\\2x-1=-x-4\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)
6) \(ĐK:x\ge-2\)
\(\Leftrightarrow5\sqrt{x+2}-3\sqrt{x+2}-\sqrt{x+2}=\sqrt{x+7}\)
\(\Leftrightarrow\sqrt{x+2}=\sqrt{x+7}\)
\(\Leftrightarrow x+2=x+7\Leftrightarrow2=7\left(VLý\right)\)
Vậy \(S=\varnothing\)
7) \(ĐK:x\ge-1\)
\(\Leftrightarrow5\sqrt{2x+1}+3\sqrt{x+1}=4\sqrt{x+1}+4\sqrt{2x+1}\)
\(\Leftrightarrow\sqrt{2x+1}=\sqrt{x+1}\)
\(\Leftrightarrow2x+1=x+1\Leftrightarrow x=0\left(tm\right)\)
4 in the factory works as carefully as Mr Tam
5 I were you, I would give up smoking
6 met him for ages
7 that she improve her English
8 to him for being late
9 repairing
10 only 5 minutes brushing teeth every morning
4. Nobody in the factory is more careful than Mr Tam
5. If only you gave up smoking.
6. We haven't met him for ages.
7. I suggest that she should improve her English
8. I apologized to him for being late
9. The room needs to be more new to be used
10. We spend 5 minutes brushing our teeth every morning
Test 2
1. It took me 3 weeks to write this book