Giusp e ạ
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HK
Giusp em với mọi người ạ. Rút gọn câu d, e, f, b giúp em với ạ, Em cảm ơn nhiều lắm.
2
5 tháng 2 2022
\(b,\dfrac{\sqrt{12}-\sqrt{6}}{\sqrt{30}-\sqrt{15}}=\dfrac{\sqrt{6}\left(\sqrt{2}-1\right)}{\sqrt{15}\left(\sqrt{2}-1\right)}=\dfrac{\sqrt{6}}{\sqrt{15}}=\dfrac{\sqrt{2}}{\sqrt{5}}\)
\(d,\dfrac{ab-bc}{\sqrt{ab}-\sqrt{bc}}=\dfrac{\left(\sqrt{ab}-\sqrt{bc}\right)\left(\sqrt{ab}+\sqrt{bc}\right)}{\left(\sqrt{ab}-\sqrt{bc}\right)}=\sqrt{ab}+\sqrt{bc}=\sqrt{b}\left(\sqrt{a}+\sqrt{c}\right)\)
\(e,\left(a\sqrt{\dfrac{a}{b}+2\sqrt{ab}}+b\sqrt{\dfrac{a}{b}}\right)\sqrt{ab}\)
\(=a\left(\sqrt{\dfrac{a}{b}+\dfrac{2b.\sqrt{ab}}{b}}+b\sqrt{\dfrac{a}{b}}\right)\sqrt{ab}\)
\(=a\sqrt{a}\sqrt{a+2b\sqrt{ab}}+b\sqrt{a^2}\)
\(=a\sqrt{a^2+2ab\sqrt{ab}}+ab\)
\(=a\left(\sqrt{a^2+2ab\sqrt{ab}}+b\right)\)
\(f,\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\dfrac{1+a\sqrt{a}}{1+\sqrt{a}}-\sqrt{a}\right)\)
\(=\left(a+\sqrt{a}+1+\sqrt{a}\right)\left(a-\sqrt{a}+1-\sqrt{a}\right)\)
\(=\left(a+2\sqrt{a}+1\right)\left(a-2\sqrt{a}+1\right)\)
\(=\left(\sqrt{a}+1\right)^2\left(\sqrt{a}-1\right)^2\)
\(=\left(a-1\right)^2=a^2-2a+1\)
6 tháng 4 2022
Her name was just on tounge but I couldn't remember her name.
H9
HT.Phong (9A5)
CTVHS
7 tháng 11 2023
a)
\(0,3-\dfrac{8}{3}:\dfrac{4}{3}\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-\dfrac{8}{3}\cdot\dfrac{3}{4}\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-2\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-\dfrac{2}{5}+1\\ =\dfrac{9}{10}\)
b)
\(\left(-\dfrac{1}{2}\right)^2-\dfrac{5}{8}:\left(0,5\right)^3-\dfrac{5}{3}\cdot\left(-6\right)\\ =\dfrac{1}{4}-\dfrac{5}{8}:\dfrac{1}{8}+\dfrac{5}{3}\cdot6\\ =\dfrac{1}{4}-\dfrac{5}{8}\cdot8+10\\ =\dfrac{1}{4}-5+10\\ =\dfrac{21}{4}\)
c)
\(2+4:\left(\dfrac{2}{3}-\dfrac{1}{6}\right)\cdot\left(-2,25\right)\\ =2+4:\dfrac{1}{2}\cdot\left(-2,25\right)\\ =2+8\cdot\left(-2,25\right)\\ =2-18\\ =-16\)
d)
\(\left(2\dfrac{5}{6}+1\dfrac{4}{9}\right):\left(10\dfrac{1}{12}-9\dfrac{1}{2}\right)\\ =\left(2+\dfrac{5}{6}+1+\dfrac{4}{9}\right):\left(10+\dfrac{1}{12}-9-\dfrac{1}{2}\right)\\ =\left(3+\dfrac{23}{18}\right):\left(1-\dfrac{5}{12}\right)\\ =\dfrac{77}{18}:\dfrac{7}{12}\\ =\dfrac{22}{3}\)
NV
Nguyễn Việt Lâm
Giáo viên
23 tháng 3 2022
a.
Với \(m=-1\) pt trở thành: \(x^2+4x-2=0\)
\(\Delta'=4+2=6>0\) nên pt có 2 nghiệm pb:
\(x_1=-2+\sqrt{6}\) ; \(x_2=-2-\sqrt{6}\)
b.
\(\Delta'=\left(m-1\right)^2-\left(m^2-3\right)=-2m+4\ge0\Rightarrow m\le2\)
Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=2\left(m-1\right)\\x_1x_2=m^2-3\end{matrix}\right.\)
\(x_1\left(x_1-x_2\right)+x_2^2=33\)
\(\Leftrightarrow x_1^2+x_2^2-x_1x_2=33\)
\(\Leftrightarrow\left(x_1+x_2\right)^2-3x_1x_2=33\)
\(\Leftrightarrow4\left(m-1\right)^2-3\left(m^2-3\right)=33\)
\(\Leftrightarrow m^2-8m-20=0\Rightarrow\left[{}\begin{matrix}m=10>2\left(loại\right)\\m=-2\end{matrix}\right.\)
1. Is running
2. Buys
3. Isn't drinking
4. Are climbing
5. Is crying
6. Wear
7. Do you do
8. Eat
9. Sets off
10. Won't go
@Bảo
#Cafe