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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
\(C=\frac{x+\sqrt{x}+17}{x+\sqrt{x}}=1+\frac{17}{x+\sqrt{x}}\)
Để $C$ nhỏ nhất thì $\frac{17}{x+\sqrt{x}$ nhỏ nhất
Tức là $x+\sqrt{x}$ lớn nhất với mọi $x\geq 0$
Khi $x\geq 0$ thì ta không thể tìm GTLN của $x+\sqrt{x}$ vì cứ cho $x$ tăng vô hạn thì $x+\sqrt{x}$ cũng tăng vô hạn.
Vì vậy biểu thức C không có min bạn nhé. Bạn cần bổ sung thêm điều kiện khác về $x$ để tìm.
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 3:
Vì (d') và (d'') cắt nhau tại một điểm trên trục tung nên ta có:
\(\left\{{}\begin{matrix}m+2< >2\\-m^2+4m-2=m-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}m< >0\\-m^2+3m=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}m< >0\\m\left(-m+3\right)=0\end{matrix}\right.\Leftrightarrow m=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(y\in\left(-\infty;\infty\right)\)
\(-2y^2-3xy-2y+2x^2+6x=1\)
\(-2y^2-3xy-2y-2x^2+6x-1=0\)
\(-2y^2-\left(3x+2\right)y+2x^2+6x-1=0\)
\(y=\frac{\sqrt{25x^2+60x-4-3x-2}}{4}\)
\(y=-\frac{\sqrt{25x^2+60x-4+3x+2}}{4}\)
#Ứng Lân
\(a,=\left(4+\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\\ =\left(4+\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right)\\ =\left(4+\sqrt{15}\right)\left(8-2\sqrt{15}\right)\\ =32-8\sqrt{15}+8\sqrt{15}-30=2\\ b,=\sqrt{\left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right)}\left(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\right)\\ =\sqrt{4}\left(\sqrt{\dfrac{5}{2}}-\sqrt{\dfrac{1}{2}}+\sqrt{\dfrac{5}{2}}+\sqrt{\dfrac{1}{2}}\right)\\ =2\cdot2\sqrt{\dfrac{5}{2}}=4\sqrt{\dfrac{5}{2}}=2\sqrt{10}\\ c,=\sqrt{\dfrac{5}{2}}+\sqrt{\dfrac{1}{2}}-\sqrt{\dfrac{5}{2}}+\sqrt{\dfrac{1}{2}}-\sqrt{2}=2\sqrt{\dfrac{1}{2}}-\sqrt{2}=\sqrt{2}-\sqrt{2}=0\)
\(d,=\sqrt{\dfrac{7}{2}}-\sqrt{\dfrac{1}{2}}-\sqrt{\dfrac{7}{2}}-\sqrt{\dfrac{1}{2}}+\sqrt{7}\\ =-2\sqrt{\dfrac{1}{2}}+\sqrt{7}=\sqrt{7}-\sqrt{2}\)
\(e,=\sqrt{6}+\sqrt{\dfrac{1}{2}}+\sqrt{6}-\sqrt{\dfrac{1}{2}}+2\sqrt{6}=4\sqrt{6}\)
sao này mình sẽ học những thứ này ư??? ;-;![Mèo đen chậm hiểu loading, mặt ngơ ngác - Ảnh chế 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