\(\frac{29182}{12728}:\frac{2293}{1277}:\frac{3283}{2832}X\left(\frac{8}{16}-\frac{1}{2}\right)\)
~_~
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Tìm x biết:
a)\(\frac{2}{3}.\left(x-\frac{3}{8}\right)-x-\left(-\frac{7}{8}+\frac{2}{3}\right)=\left(\frac{-3}{4}\right)^3:1\frac{11}{16}\)
b)\(-\frac{7}{8}+\frac{7}{8}:\left(\frac{2}{3}-x\right)+\frac{5}{6}:\left(-1\frac{11}{35}\right)=\left(0,8\right)^2\)
tìm x biết:
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
\(4x+\frac{15}{16}=\frac{23}{16}\)
\(4x=\frac{1}{2}\)
\(x=\frac{1}{8}\)
Vậy \(x=\frac{1}{8}\)
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\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
\(\Rightarrow\left(x+x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=\frac{23}{16}\)
\(\Rightarrow5x+\frac{15}{32}=\frac{23}{16}\)
\(\Rightarrow5x=\frac{23}{16}-\frac{15}{32}\)
\(\Rightarrow5x=\frac{31}{32}\)
\(\Rightarrow x=\frac{31}{32}.\frac{1}{5}=\frac{31}{160}\)
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3,2.frac{15}{16}-left(75%+frac{2}{7}right):left(-1frac{1}{28}right)left(0,25+12,5-frac{5}{16}right):left[12-frac{7}{12}:left(frac{3}{8}-frac{1}{12}right)right]left(frac{-3}{5}+frac{5}{11}right):frac{-3}{7}+left(frac{-2}{5}+frac{6}{5}right):frac{-3}{7}14,5-frac{8}{9}:left(35-34frac{8}{9}right).frac{9}{8}1frac{1}{15}-left(frac{1}{15}+frac{4}{9}:frac{-2}{3}-frac{28}{16}.frac{6}{35}right)-frac{3}{10}Tìm x left(4,5-2xright)left(-3frac{2}{3}right)frac{11}{15}backslash34-xbackslashleft(-3right)^4left(4...
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\(3,2.\frac{15}{16}-\left(75\%+\frac{2}{7}\right):\left(-1\frac{1}{28}\right)\)
\(\left(0,25+12,5-\frac{5}{16}\right):\left[12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right]\)
\(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)
\(14,5-\frac{8}{9}:\left(35-34\frac{8}{9}\right).\frac{9}{8}\)
\(1\frac{1}{15}-\left(\frac{1}{15}+\frac{4}{9}:\frac{-2}{3}-\frac{28}{16}.\frac{6}{35}\right)-\frac{3}{10}\)
Tìm x
\(\left(4,5-2x\right)\left(-3\frac{2}{3}\right)=\frac{11}{15}\)
\(\backslash34-x\backslash=\left(-3\right)^4\)
\(\left(4x^2-1\right)\left(\text{\x}\backslash-\frac{2}{3}\right)=0\)
\(\frac{3}{5}x-\frac{1}{2}\)\(x=\frac{-7}{20}\)
\(=\frac{16}{5}.\frac{15}{16}-\left(\frac{3}{4}+\frac{2}{7}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{21}{28}+\frac{8}{28}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{29}{28}\right).\left(\frac{-28}{29}\right)\)
\(=3-\left(-1\right)\)
\(=4\)
b) \(=\left(\frac{1}{4}+\frac{25}{2}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right)\)
\(=\left(\frac{4}{16}+\frac{200}{16}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3.3}{2.3.4}-\frac{2}{2.3.4}\right)\right)\)
\(=\left(\frac{199}{16}\right):\left(12-\frac{7}{12}:\left(\frac{9}{24}-\frac{2}{24}\right)\right)\)
\(=\frac{199}{16}:\left(12-\frac{7}{12}.\frac{24}{7}\right)\)
\(=\frac{199}{16}:\left(12-2\right)\)
\(=\frac{199}{16}:10\)
\(=\frac{199}{160}\)
c) \(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-33}{55}+\frac{25}{55}\right):\frac{-3}{7}+\left(\frac{4}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-8}{55}\right).\frac{-7}{3}+\frac{4}{5}.\frac{-7}{3}\)
\(\frac{-7}{3}\left(\frac{-8}{55}+\frac{4}{5}\right)\)
\(\frac{-7}{3}.\frac{36}{55}=\frac{-84}{55}\)
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nhớ làm giúp mình nhá mai mình phải đi học r :<
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Tìm x:\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
Trả lời:x là......
truoc tien quy dong roi tinh hoac so sanh voi 1/2 kich nhe
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câu này ở trong Violympic nên mình nói luôn đáp án là 1/8
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\(\left(\frac{1}{16}\right)^x=\left(\frac{1}{8}\right)^6\)
\(\left(\frac{1}{16}\right)^x=\left(\frac{1}{8}\right)^{36}\)
\(\left(\frac{1}{32}\right)^x=\left(\frac{1}{8}\right)^{15}\)
\(\left(\frac{1}{9}\right)^x=\left(\frac{1}{27}\right)^6\)
thank you
Câu 21:
\(\frac{1}{2}\left(\frac{x^{10}}{y^2}+\frac{y^{10}}{x^2}\right)+\frac{1}{4}\left(x^{16}+y^{16}\right)-\left(1+x^2y^2\right)^2\ge x^4y^4+\frac{x^8y^8}{2}-1-2x^2y^2-x^4y^4=\left(x^2y^2-1\right)^2+\frac{1}{2}\left(x^4y^4-1\right)^2-\frac{5}{2}\ge-\frac{5}{2}.\)
Dấu = xảy ra khi x=y=1
Tìm x:
a,\(x:\left(9\frac{1}{2}-\frac{3}{2}\right)=\frac{\frac{2}{5}+\frac{4}{9}-\frac{5}{11}}{\frac{8}{5}+\frac{16}{9}-\frac{20}{11}}\)
b,\(\left|2x-\frac{1}{3}\right|-\left(-2^2\right)=4\left(\frac{1}{-2}\right)^3\)
Tìm min,max của P=xyz biết A= \(\frac{8-x^2}{16+x^4}+\frac{8-y^2}{16+y^4}+\frac{8-z^2}{16+z^4}\ge0.\)
Cho a;b;c >0 thỏa mã \(a+b+c\le3\)Tìm min P \(=\left(3+\frac{1}{a}+\frac{1}{b}\right)\left(3+\frac{1}{b}+\frac{1}{c}\right)\left(3+\frac{1}{c}+\frac{1}{a}\right)\)
Tìm x: \(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)
x. 4 +15/16 = 1
x.4 = 1 - 15/16 = 1/16
x = 1/16 : 4 = 1/64
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\(x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)
\(4\cdot x+\frac{1+2+4+8}{16}=1\)
\(4\cdot x+\frac{15}{16}=1\)
Vậy 4*x = 1 - 15/16 = 1/16
Nên x = \(\frac{1}{16}:4=\frac{1}{64}\)
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