\(\frac{19}{4}:\left(x-\frac{1}{2}\right)=\frac{5}{3}\)
help me đừg júp mk
ai júp mk sẽ tick cho
nếu ai júp nhớ lm chi tiết vào nha :P
K
Khách
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D
1
30 tháng 11 2016
A=\(\sqrt{\frac{\sqrt{5}}{8\sqrt{5}+3\sqrt{35}}}.3\sqrt{2}+\sqrt{14}=\sqrt{\frac{\sqrt{5}}{\sqrt{5}\left(8+3\sqrt{7}\right)}}.\sqrt{2}\left(3+\sqrt{7}\right)\)
\(8>3.\sqrt{7}\Rightarrow8-3\sqrt{7}>0\left(lienhop\right)\left(8-3\sqrt{7}\right)\)
\(A=\sqrt{\left(8-3.\sqrt{7}\right)}.\sqrt{2}\left(3+\sqrt{7}\right)\)
\(A=\sqrt{\left(16-2.3.\sqrt{7}\right)}.\left(3+\sqrt{7}\right)\)
\(A=\sqrt{3^2-2.3.\sqrt{7}+\left(\sqrt{7}\right)^2}.\left(3+\sqrt{7}\right)\)
\(A=\sqrt{\left(3-\sqrt{7}\right)^2}\left(3+\sqrt{7}\right)\)
\(3-\sqrt{7}>0\)
\(\Rightarrow A=\left(3-\sqrt{7}\right)\left(3+\sqrt{7}\right)=9-7=2\)
14 tháng 7 2016
a) (2+1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2+1)(2-1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2^2-1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2^4-1)(2^4+1)....(2^32+1)-2^64
=......
=(2^32-1)(2^32+1)-2^64
=2^64-1-2^64=-1
b)Đặt A=(5+3)(5^2+3^2)(5^4+3^4)...(5^64+3^64)+(5^128-3^128)/2
đặt B=(5+3)(5^2+3^2)(5^4+3^4)...(5^64+3^64)
\(2B=\left(5-3\right)\left(5+3\right)\left(5^2+3^2\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=\left(5^2-3^2\right)\left(5^2+3^2\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=\left(5^4-3^4\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=.......\)
2B=(5^64-3^64)(5^64+3^64)
2B=5^128-3^128
B=(5^128-3^128)/2 (thế vào đề bài)
=> A=B+(5^128-3^128)/2=(5^128-3^128)/2+(5^128-3^128)/2=\(\frac{2\left(5^{128}-3^{128}\right)}{2}=\left(5^{128}-3^{128}\right)\)
14 tháng 7 2016
a) A = ( 2-1)(2+1)(22+1)...(232+1)-264
=(22-1)(22+1)(24+1)... -264
=....
=264-1-264=1
câu b tương tự nhá
VI
11
3 tháng 6 2016
\(\frac{77}{23}+\frac{23}{23}\)\(=\frac{77}{23}+1=\frac{100}{23}\)
B
6 tháng 4 2019
\(\left(\frac{1}{2}-\frac{3}{4}\right):\frac{1}{2}+\left(\frac{1}{2}\right)^2\)
\(=\left(\frac{2}{4}-\frac{3}{4}\right):\frac{1}{2}+\frac{1}{4}\)
\(=\frac{-1}{4}:\frac{1}{2}+\frac{1}{4}\)
\(=\frac{-1}{4}.\frac{2}{1}+\frac{1}{4}\)
\(=\frac{-1}{2}+\frac{1}{4}\)
\(=\frac{-2}{4}+\frac{1}{4}\)
\(=\frac{-1}{4}\)
(x-1/2)=19/4:5/3
(x-1/2)=19/4x3/5
x-1/2=57/20
x=57/20+1/2
x=67/20
tk cho mk nha
\(\frac{19}{4}:\left(x-\frac{1}{2}\right)=\frac{5}{3}\)
\(x-\frac{1}{2}=\frac{19}{4}:\frac{5}{3}=\frac{57}{20}\)
\(x=\frac{57}{20}+\frac{1}{2}\)
\(x=\frac{67}{20}\)