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\(\Leftrightarrow x\left(\frac{1}{x-3}-\frac{1}{x-5}-\frac{1}{x-4}+\frac{1}{x-6}\right)=0\)
\(\Leftrightarrow x\left(\frac{1}{x-3}-\frac{1}{x-5}-\frac{1}{x-4}+\frac{1}{x-6}\right)=0\)
\(\Leftrightarrow x\left[\frac{x-6+x-3}{\left(x-3\right)\left(x-6\right)}-\left(\frac{x-4+x-5}{\left(x-5\right)\left(x-4\right)}\right)\right]=0\)
\(\Leftrightarrow x\left(\frac{2x-9}{x^2-9x+18}-\frac{2x-9}{x^2-9x+20}\right)=0\)
\(\Leftrightarrow x\left(2x-9\right)\left(\frac{1}{x^2-9x+18}-\frac{1}{x^2-9x+20}\right)=0\) Vì \(\frac{1}{x^2-9x+18}-\frac{1}{x^2-9x+20}\ne0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\2x-9=0\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{9}{2}\end{cases}}\)
#Hok tốt
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góc tEa = góc D2 =390 ( so le trong do a//b)
góc D1 = 180 0 - góc D2 ( do góc D1 + góc D2 =1800)
= 1800-390=1410
góc D3 = góc D1 = 1410 ( đối đỉnh )
góc D4 = góc D2 = 390(đối đỉnh)
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\(\dfrac{3a-2b}{5}=\dfrac{2c-5a}{3}=\dfrac{5b-3c}{2}=\dfrac{6c-15a}{9}=\dfrac{10b-6c}{4}=\dfrac{6c-15a+10b-6c}{9+4}=\dfrac{10b-15a}{13}\)
\(\Rightarrow\dfrac{3a-2b}{5}=\dfrac{10b-15a}{13}\Rightarrow39a-26b=50b-75a\)
\(\Rightarrow114a=76b\Rightarrow b=\dfrac{3}{2}a\)
Tương tự:
\(\dfrac{2c-5a}{3}=\dfrac{3a-2b}{5}=\dfrac{5b-3c}{2}=\dfrac{15a-10b}{25}=\dfrac{10b-6c}{4}=\dfrac{15a-10b+10b-6c}{25+4}=\dfrac{15a-6c}{29}\)
\(\Rightarrow\dfrac{2c-5a}{3}=\dfrac{15a-6c}{29}\Rightarrow58c-145a=45a-18c\)
\(\Rightarrow76c=190a\Rightarrow c=\dfrac{5}{2}a\)
Thế vào \(a^2+275=bc\)
\(\Rightarrow a^2+275=\left(\dfrac{3}{2}a\right).\left(\dfrac{5}{2}a\right)=\dfrac{15}{4}a^2\)
\(\Rightarrow\dfrac{11}{4}a^2=275\Rightarrow a^2=100\Rightarrow a=\pm10\)
- Với \(a=10\Rightarrow b=\dfrac{3}{2}a=15\) ; \(c=\dfrac{5}{2}a=25\)
- Với \(a=-10\Rightarrow b=-15;c=-25\)
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Bài 8:
a) Ta có: \(A=\left(x-y\right)^3+3xy\left(x-y\right)\)
\(=\left(x-y\right)\left(x^2-2xy+y^2+3xy\right)\)
\(=\left(x-y\right)\left(x^2+xy+y^2\right)\)
\(=x^3-y^3\)
b) Ta có: \(B=\left(x+y\right)^3+3\left(x-y\right)\left(x+y\right)^2+3\left(x-y\right)^2\left(x+y\right)+\left(x-y\right)^3\)
\(=\left(x+y+x-y\right)^3\)
\(=\left(2x\right)^3=8x^3\)
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a) A = (3.4.2¹⁶)² = 3².4².2³²
= 3².(2²)².2³² = 2⁴.2³².3²
= 2³⁶.3²
B = 11.2¹³.4¹¹ - 16⁹
= 11.2¹³.(2²)¹¹ - (2⁴)⁹
= 11.2¹³.2²² - 2³⁶
= 11.2³⁵ - 2³⁶
= 2³⁵.(11 - 2)
= 2³⁵.9
= 2³⁵.3²
b) ƯCLN(A; B) = 2³⁵.3²
c) P = A/B = (2³⁶.3²)/(2³⁵.3²) = 2
9. How many roses are they planting in the garden ?
10. Who will Liz send these letters to ?
11. What is your favorite subject ?
12. Do you have magazines and newspapers ?
13. What do you often do in your free time ?
14. Where is your mother at the moment ?
15. Who likes playing table tennis ?
16. How often do you go to the movies ?
17. When do they go to the beach ?
18. Where do they stay ?
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