a) A= [(32.52.43) ; ( 23.32)] . 20050
b) G = (516+165) ( 317-310) ( 24-42)
c) H = ( 52007 -52006) : ( 52005.5 )
d) M= 5 + (-15) + ( -25) + 35+ 45 +(-55) + (-65) +... + 1995 +2005
CÁC BẠN ƠI GIÚP MÌNH NHÉ , HEHE
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a, A = 3 2 . 5 2 . 4 3 : 2 3 . 3 2 . 2005 0
= 3 2 . 5 2 . 2 6 : 2 3 . 3 2 . 1
= 3 . 5 2 . 2 3 = 3.25.8 = 600
b, B = 194.12+6.437.2+3.369.4
= 194.12+437.12+369.12
= 12.(194+437+369)
= 12.1000 = 12000
c, C = 5 16 + 16 5 3 17 - 3 10 2 4 - 4 2
= 5 16 + 16 5 3 17 - 3 10 4 2 - 4 2
= 5 16 + 16 5 3 17 - 3 10 . 0 = 0
d, D = 5 2007 - 5 2006 : 5 2005 . 5
= 5 2007 - 5 2006 : 5 2006
= 5 2006 . 5 - 1 : 5 2006 = 4
11. A. cities/s/
12. A. begged d
13. A. approached t
14. A. laughs t
15. A. finished t
16. A. expanded id
17. A. expanded id
18. A. promised t
19. A. houses s
20. A. reduced s
21. A. cooked t
22. A. houses s
23. A. kites s
24. A. attacked t
25. A. possessed t
26. A. derived d
27. A. valued d
28. A. supported id
29. A. circled d
30. A. matched t
31. A. visited id
32. A. talked t
33. A. cursed t
34. A. approached t
1: \(A=\frac{a\sqrt{a}-1}{a-\sqrt{a}}-\frac{a\sqrt{a}+1}{a+\sqrt{a}}+\left(\sqrt{a}-\frac{1}{\sqrt{a}}\right)\cdot\left(\frac{\sqrt{a}+1}{\sqrt{a}-1}+\frac{\sqrt{a}-1}{\sqrt{a}+1}\right)\)
ĐKXĐ: a>0; a<>1
Ta có: \(\frac{a\sqrt{a}-1}{a-\sqrt{a}}-\frac{a\sqrt{a}+1}{a+\sqrt{a}}\)
\(=\frac{\left(\sqrt{a}-1\right)\left(a+\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}-\frac{\left(\sqrt{a}+1\right)\left(a-\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}+1\right)}\)
\(=\frac{a+\sqrt{a}+1-\left(a-\sqrt{a}+1\right)}{\sqrt{a}}=\frac{2\sqrt{a}}{\sqrt{a}}=2\)
Ta có: \(\left(\frac{\sqrt{a}+1}{\sqrt{a}-1}+\frac{\sqrt{a}-1}{\sqrt{a}+1}\right)\)
\(=\frac{\left(\sqrt{a}+1\right)^2+\left(\sqrt{a}-1\right)^2}{\left(\sqrt{a}+1\right)\left(\sqrt{a}-1\right)}\)
\(=\frac{a+2\sqrt{a}+1+a-2\sqrt{a}+1}{a-1}\)
\(=\frac{2a+2}{a-1}\)
Ta có: \(A=\frac{a\sqrt{a}-1}{a-\sqrt{a}}-\frac{a\sqrt{a}+1}{a+\sqrt{a}}+\left(\sqrt{a}-\frac{1}{\sqrt{a}}\right)\cdot\left(\frac{\sqrt{a}+1}{\sqrt{a}-1}+\frac{\sqrt{a}-1}{\sqrt{a}+1}\right)\)
\(=2+\frac{a-1}{\sqrt{a}}\cdot\frac{2a+2}{a-1}=2+\frac{2a+2}{\sqrt{a}}=\frac{2a+2\sqrt{a}+2}{\sqrt{a}}\)
2: A=7
=>\(\frac{2a+2\sqrt{a}+2}{\sqrt{a}}=7\)
=>\(2a+2\sqrt{a}+2=7\sqrt{a}\)
=>\(2a-5\sqrt{a}+2=0\)
=>\(\left(2\sqrt{a}-1\right)\left(\sqrt{a}-2\right)=0\)
=>\(\left[\begin{array}{l}2\sqrt{a}-1=0\\ \sqrt{a}-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}\sqrt{a}=\frac12\\ \sqrt{a}=2\end{array}\right.\Rightarrow\left[\begin{array}{l}a=\frac14\left(nhận\right)\\ a=4\left(nhận\right)\end{array}\right.\)
3: A>6
=>\(\frac{2a+2\sqrt{a}+2}{\sqrt{a}}>6\)
=>\(\frac{a+\sqrt{a}+1}{\sqrt{a}}>3\)
=>\(\frac{a+\sqrt{a}+1-3\sqrt{a}}{\sqrt{a}}>0\)
=>\(\frac{\left(\sqrt{a}-1\right)^2}{\sqrt{a}}>0\) (luôn đúng với mọi a thỏa mãn ĐKXĐ)
a, a=0 hoặc a=2
b, b=0
c, Vì a=0 nhung a:a=0:0 không được
\(\Rightarrow\)a=1