tính
x:5/4=9/5+1/2
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a) \(\dfrac{x+6}{x^2-4}+\dfrac{1}{x+2}=\dfrac{x+6}{\left(x-2\right)\left(x+2\right)}+\dfrac{x-2}{\left(x+2\right)\left(x-2\right)}=\dfrac{x+6+x-2}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{2x+4}{\left(x+2\right)\left(x-2\right)}=\dfrac{2}{x-2}\)
b) \(x^2+xy-5\left(x+y\right)=x\left(x+y\right)-5\left(x+y\right)=\left(x-5\right)\left(x+y\right)\)
gọi 2+2căn 3 là a đi cho đỡ phải gõ nhiều
ủa? bạn xem lại đề đi: x+1/x hay x^2+1/x^2 đây???
`x - 1 / 2 = [-3] / 4 : 3 / 2`
`x - 1 / 2 = [-3] / 4 . 2 / 3`
`x - 1 / 2 = [-1] / 2`
`x = [-1] / 2 + 1 / 2`
`x = 0`
x - 4,6 = 8,3 - 3 x - 1/2 = -2/4
x - 4,6 = 5,3 x = -2/4 + 1/2
x = 5,3 + 4,6 x = 0
x = 9,9
\(\text{#}Irumaa:\)\(3\)
\(x - 4,6 = 8,3 - 2 × 1,5\)
\( x - 4,6 = 8,3 - 3\)
\( x - 4,6 = 5,3\)
\( x = 5,3 + 4,6\)
\( x = 11,1\)
\(--------------------------\)
\(x-\dfrac{1}{2}=-\dfrac{3}{4}:\dfrac{3}{2}\)
\(x-\dfrac{1}{2}=-\dfrac{3}{4\text{ }}\text{×}\dfrac{2}{3}\)
\(x-\dfrac{1}{2}=-\dfrac{1}{2}\)
\(x=-\dfrac{1}{2}+\dfrac{1}{2}\)
\(x=0\)
x + y = 0000000000000000000000000000000000000000000000000000000000000000
a) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)
\(=\dfrac{5}{7}\times1\)
\(=\dfrac{5}{7}\)
b) \(\dfrac{1}{10}+\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{9}{10}-1\)
\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{1}{10}+\dfrac{9}{10}-1\right)\)
\(=1+0\)
\(=1\)
c) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}+\dfrac{2}{7}\)
\(=1\)
d) \(\dfrac{2}{7}+\dfrac{2}{8}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{4}{7}\)
\(=\left(\dfrac{2}{8}+\dfrac{1}{4}\right)+\left(\dfrac{2}{7}+\dfrac{1}{7}+\dfrac{4}{7}\right)\)
\(=\left(\dfrac{1}{4}+\dfrac{1}{4}\right)+1\)
\(=\dfrac{1}{2}+1\)
\(=\dfrac{3}{2}\)
e) \(\dfrac{4}{5}+\dfrac{3}{10}+\dfrac{2}{10}+0,7\)
\(=\dfrac{4}{5}+\dfrac{5}{10}+\dfrac{7}{10}\)
\(=\dfrac{4}{5}+\dfrac{12}{10}\)
\(=\dfrac{4}{5}+\dfrac{6}{5}\)
\(=\dfrac{10}{5}\)
\(=2\)
g) \(362\times728+326\times272\)
\(=326\times\left(728+272\right)\)
\(=326\times1000\)
\(=326000\)
1: =1/8*9/4=9/32
2: =8/27*243/32=9/4
3: =(5/4*4/5)^5*(4/5)^2=16/25
4: \(=\left(-\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^2\cdot\left(\dfrac{6}{5}\right)^2=\dfrac{36}{25}\)
5: \(=\left(-\dfrac{4}{3}\right)^3\cdot\left(\dfrac{3}{4}\right)^{10}=\left(-1\right)\left(\dfrac{3}{4}\right)^7=-\left(\dfrac{3}{4}\right)^7\)
6: \(=\left(\dfrac{1}{3}\cdot\dfrac{-9}{2}\right)^4\left(-\dfrac{9}{2}\right)^2=\left(-\dfrac{3}{2}\right)^4\cdot\dfrac{81}{4}=\dfrac{9}{4}\cdot\dfrac{81}{4}=\dfrac{729}{16}\)
8: =(0,2*5)^4*5^2=25
10: =-0,5^5*2^10
=-0,5^5*2^5*2^5
=-32
13: =(0,5*2)^2*2^2=4
\(a,3\dfrac{4}{5}+2\dfrac{1}{5}=\dfrac{19}{5}+\dfrac{11}{5}=\dfrac{30}{5}=6\\ b,7\dfrac{2}{9}-2\dfrac{1}{9}=\dfrac{65}{9}-\dfrac{19}{9}=\dfrac{46}{9}\\ c,5-2\dfrac{4}{11}=5-\dfrac{26}{11}=\dfrac{29}{11}\\ d,5\dfrac{1}{2}-2\dfrac{1}{3}+2\dfrac{1}{6}=\dfrac{11}{2}-\dfrac{7}{3}+\dfrac{13}{6}=\dfrac{32}{6}=\dfrac{16}{3}\\ e,3\dfrac{4}{5}\times2\dfrac{1}{5}=\dfrac{19}{5}\times\dfrac{11}{5}=\dfrac{209}{25}\\ f,7\dfrac{2}{9}:2\dfrac{1}{9}=\dfrac{65}{9}:\dfrac{19}{9}=\dfrac{65}{9}\times\dfrac{9}{19}=\dfrac{65}{19}\\ g,5\times2\dfrac{4}{11}=5\times\dfrac{26}{11}=\dfrac{130}{11}\\ h,5:2\dfrac{4}{1}=5:8=\dfrac{5}{8}\)
giúp mk nhanh nha
thanks
\(x:\frac{5}{4}=\frac{9}{5}+\frac{1}{2}\)
\(\Rightarrow x:\frac{5}{4}=\frac{18}{10}+\frac{5}{10}=\frac{23}{10}\)
\(\Rightarrow x=\frac{23}{10}.\frac{5}{4}=\frac{23}{8}\)