1.Tìm x, biết:
\(1+\)\(\frac{1}{3}+\frac{1}{6}+...+\frac{2}{Xx\left[x+1\right]}=1\frac{9}{11}\)
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Tìm x biết :
\(\left[\frac{6:\frac{3}{5}-1\frac{1}{16}.\frac{6}{7}}{4\frac{1}{5}.\frac{10}{11}+5\frac{2}{11}}-\frac{\left(\frac{3}{20}+\frac{1}{2}-\frac{1}{15}\right).\frac{12}{49}}{3\frac{1}{3}+\frac{2}{9}}\right].x=2\frac{23}{96}\)
\(x=\frac{903}{391}\)
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\(A=\left(6:\frac{3}{5}-1\frac{1}{6}x\frac{6}{7}\right):\left(4\frac{1}{5}x\frac{10}{11}+5\frac{2}{11}\right)\)\(B=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{4}\right)x.......x\left(1-\frac{1}{2015}\right)x\left(1-\frac{1}{2016}\right)\)
\(C=5\frac{9}{10}:\frac{3}{2}-\left(2\frac{1}{3}x4\frac{1}{2}-2x2\frac{1}{3}\right):\frac{7}{4}\)
Tìm x thuộc N biết :
a) \(\left(\frac{3}{2}\right)^x=\frac{11.\left(-3\right)^{22}.3^7+9^3.3^{14}}{\left(4.3^{14}\right)^2}\)
b)\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}=\frac{7}{9}\)
Bài 1 thực hiện phép tính a)frac{45}{19}-left(frac{1}{2}+left(frac{1}{3}+left(frac{1}{4}right)^{-1}right)^{-1}right)^{-1}.b) frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}.Bài 2. tìm x, biết: a) 2(x-1) - 3(2x+2) - 4(2x+3) 16 b) 3frac{1}{2}:left|2x-1right|frac{21}{22} c) |x2+|x-1|| x2+2Bài 3. Chứng minh rằng số có dạng abcabc luôn chia hết cho 11Bài 4.tính:a) A left(frac{0,4-frac{2}{9}+frac{2}{11}}{1,4-frac{7}{9}+frac{7}{11}}-frac{frac{1}{3}-0,25+frac{1}{5}}{1frac{1}{6}-0,875...
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Bài 1 thực hiện phép tính
a)\(\frac{45}{19}-\left(\frac{1}{2}+\left(\frac{1}{3}+\left(\frac{1}{4}\right)^{-1}\right)^{-1}\right)^{-1}.\)
b) \(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}.\)
Bài 2. tìm x, biết:
a) 2(x-1) - 3(2x+2) - 4(2x+3) =16
b) \(3\frac{1}{2}:\left|2x-1\right|=\frac{21}{22}\)
c) |x2+|x-1|| = x2+2
Bài 3. Chứng minh rằng số có dạng abcabc luôn chia hết cho 11
Bài 4.tính:
a) A = \(\left(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\right):\frac{2012}{2013}\)
b) B =\(4.\left(-\frac{1}{2}\right)^2-2.\left(-\frac{1}{2}\right)^2+3.\left(-\frac{1}{2}\right)+1\)
c) C =\(\frac{1}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):1\frac{1}{5}:\left(-1\frac{1}{6}\right):...:\left(-1\frac{1}{100}\right)\)
d) D =\(\frac{4^6.9^5+6^9.120}{-8^4.3^{12}+6^{11}}\)
Tìm x:
a)11.xx-66=4.x+11
b)\(-\frac{1}{3}.\frac{1}{6}-\frac{1}{2}\le x\le\frac{2}{3}\left(\frac{1}{2}-\frac{1}{3}-\frac{3}{4}\right)\) với x \(\in\)Z
c) |x-3|+1=x
Bài giải:
a, \(11.xx-66=4.x+11\)
\(11x^2-66=4.x+11\)
\(11x^2-66-4.x-11=0\)
\(11x^2-77-4x=0\)
\(11x^2-4x-77=0\)
\(x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4.11.\left(-77\right)}}{2.11}\)
\(x=\frac{4+\sqrt{16}+3388}{22}\)
\(x=\frac{4+\sqrt{3404}}{22}\)
\(x=\frac{4+2\sqrt{851}}{22}\)
\(x=\frac{2-\sqrt{851}}{11}\)
\(\Rightarrow\)Có hai trường hợp: \(x_1=\frac{2-\sqrt{851}}{11};x_2=\frac{2+\sqrt{851}}{11}\)
Tớ bận rồi, cậu coi câu trên đã nhé ! Tớ xin lỗi, khi nào tớ sẽ làm tiếp =))
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dấu trừ đầu tiên các bạn thay thành số 4 hộ mik nhé
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frac{4}{9}:frac{-1}{7}+6frac{5}{9}.frac{2}{3}left(frac{-1}{3}right)^4.frac{4}{11}+frac{7}{11}.left(frac{-1}{3}right)^2left(frac{-1}{7}right)^0-2frac{4}{9}:left(frac{2}{3}right)^2left(frac{1}{3}-frac{5}{6}right)^2+frac{5}{6}:2Tìm xleft(frac{3}{5}-frac{1}{2}xright)^2+812frac{7}{12}-left|frac{1}{3}-frac{1}{2}xright|frac{1}{3}frac{13}{12}-frac{1}{3}.left|frac{1}{5}-frac{1}{3}xright|frac{1}{2}Nhanh hộ mình nhaCảm ơn mn
Đọc tiếp
\(\frac{4}{9}:\frac{-1}{7}+6\frac{5}{9}.\frac{2}{3}\)
\(\left(\frac{-1}{3}\right)^4.\frac{4}{11}+\frac{7}{11}.\left(\frac{-1}{3}\right)^2\)
\(\left(\frac{-1}{7}\right)^0-2\frac{4}{9}:\left(\frac{2}{3}\right)^2\)
\(\left(\frac{1}{3}-\frac{5}{6}\right)^2+\frac{5}{6}:2\)
Tìm x
\(\left(\frac{3}{5}-\frac{1}{2}x\right)^2+8=12\)
\(\frac{7}{12}-\left|\frac{1}{3}-\frac{1}{2}x\right|=\frac{1}{3}\)
\(\frac{13}{12}-\frac{1}{3}.\left|\frac{1}{5}-\frac{1}{3}x\right|=\frac{1}{2}\)
Nhanh hộ mình nha
Cảm ơn mn
Tìm x biết:
\(\left(2x+\frac{1}{3}\right)\left(\frac{3}{4}x-6\right)-\left(3x-\frac{2}{3}\right)\left(\frac{1}{2}x-\frac{6}{9}\right)=1\)
Tìm x :a) frac{3}{2}x-frac{2}{3}frac{2}{3}:frac{3}{2}b) left(frac{9}{11}-xright):left(frac{-10}{11}right)1-frac{4}{5}c) frac{-11}{12}.x+frac{3}{4}frac{-1}{6}d) frac{-5}{4}-left(1frac{1}{2}+xright)4,5đ) left(frac{3}{4}-x:frac{2}{15}right).frac{1}{5}-2,6e) 3-left(frac{1}{6}-xright).frac{2}{3}frac{2}{3}f) left(1-2xright).frac{4}{5}left(-2right)^3g) frac{1}{6}-left|frac{1}{2}.x-frac{1}{3}right|frac{1}{8}
Đọc tiếp
Tìm x :
a) \(\frac{3}{2}x-\frac{2}{3}=\frac{2}{3}:\frac{3}{2}\)
b) \(\left(\frac{9}{11}-x\right):\left(\frac{-10}{11}\right)=1-\frac{4}{5}\)
c) \(\frac{-11}{12}.x+\frac{3}{4}=\frac{-1}{6}\)
d) \(\frac{-5}{4}-\left(1\frac{1}{2}+x\right)=4,5\)
đ) \(\left(\frac{3}{4}-x:\frac{2}{15}\right).\frac{1}{5}=-2,6\)
e) \(3-\left(\frac{1}{6}-x\right).\frac{2}{3}=\frac{2}{3}\)
f) \(\left(1-2x\right).\frac{4}{5}=\left(-2\right)^3\)
g) \(\frac{1}{6}-\left|\frac{1}{2}.x-\frac{1}{3}\right|=\frac{1}{8}\)
Tìm x :a) frac{3}{2}x-frac{2}{3}frac{2}{3}:frac{3}{2}b) left(frac{9}{11}-xright):left(frac{-10}{11}right)1-frac{4}{5}c) frac{-11}{12}.x+frac{3}{4}frac{-1}{6}d) frac{-5}{4}-left(1frac{1}{2}+xright)4,5đ) left(frac{3}{4}-x:frac{2}{15}right).frac{1}{5}-2,6e) 3-left(frac{1}{6}-xright).frac{2}{3}frac{2}{3}f) left(1-2xright).frac{4}{5}left(-2right)^3g) frac{1}{6}-left|frac{1}{2}.x-frac{1}{3}right|frac{1}{8}
Đọc tiếp
Tìm x :
a) \(\frac{3}{2}x-\frac{2}{3}=\frac{2}{3}:\frac{3}{2}\)
b) \(\left(\frac{9}{11}-x\right):\left(\frac{-10}{11}\right)=1-\frac{4}{5}\)
c) \(\frac{-11}{12}.x+\frac{3}{4}=\frac{-1}{6}\)
d) \(\frac{-5}{4}-\left(1\frac{1}{2}+x\right)=4,5\)
đ) \(\left(\frac{3}{4}-x:\frac{2}{15}\right).\frac{1}{5}=-2,6\)
e) \(3-\left(\frac{1}{6}-x\right).\frac{2}{3}=\frac{2}{3}\)
f) \(\left(1-2x\right).\frac{4}{5}=\left(-2\right)^3\)
g) \(\frac{1}{6}-\left|\frac{1}{2}.x-\frac{1}{3}\right|=\frac{1}{8}\)
\(\frac{3}{2}x-\frac{2}{3}=\frac{2}{3}:\frac{3}{2}\)
\(\frac{3}{2}x-\frac{2}{3}=\frac{4}{9}\)
\(\frac{3}{2}x=\frac{4}{9}+\frac{2}{3}\)
\(\frac{3}{2}x=\frac{10}{9}\)
\(x=\frac{10}{9}:\frac{3}{2}\)
\(x=\frac{20}{27}\)
Vậy x=\(\frac{20}{27}\)
\(\left(\frac{9}{11}-x\right):\frac{-10}{11}=1-\frac{4}{5}\)
\(\left(\frac{9}{11}-x\right):\frac{-10}{11}=\frac{1}{5}\)
\(\frac{9}{11}-x=\frac{1}{5}\cdot\frac{-10}{11}\)
\(\frac{9}{11}-x=\frac{-2}{11}\)
\(x=\frac{9}{11}-\frac{-2}{11}\)
\(x=1\)
Vậy x=1
\(\frac{-11}{12}\cdot x+\frac{3}{4}=\frac{-1}{6}\)
\(\frac{-11}{12}\cdot x=\frac{-1}{6}-\frac{3}{4}\)
\(\frac{-11}{12}\cdot x=\frac{21}{12}\)
\(x=\frac{-21}{11}\)
Vậy x=\(\frac{-21}{11}\)
\(\frac{-5}{4}-\left(1\frac{1}{2}+x\right)=4,5\)
\(\frac{3}{2}+x=\frac{-5}{4}-\frac{9}{2}\)
\(\frac{3}{2}+x=\frac{23}{4}\)
\(x=\frac{17}{4}\)
Vậy x=\(\frac{17}{4}\)
\(\left(\frac{3}{4}-x:\frac{2}{15}\right)\cdot\frac{1}{5}=-2,6\)
\(\frac{3}{4}-x:\frac{2}{15}=\frac{-13}{5}:\frac{1}{5}\)
\(\frac{3}{4}-x:\frac{2}{15}=-13\)
\(x:\frac{2}{15}=\frac{3}{4}-\left(-13\right)\)
\(x:\frac{2}{15}=\frac{45}{4}\)
\(x=\frac{3}{2}\)
Vậy x=\(\frac{3}{2}\)
\(3-\left(\frac{1}{6}-x\right)\cdot\frac{2}{3}=\frac{2}{3}\)
\(3-\left(\frac{1}{6}-x\right)=\frac{2}{3}:\frac{2}{3}\)
\(3-\left(\frac{1}{6}-x\right)=1\)
\(\frac{1}{6}-x=2\)
\(x=\frac{1}{6}-2\)
\(x=\frac{-11}{6}\)
Vậy x=\(\frac{-11}{6}\)
\(\left(1-2x\right)\cdot\frac{4}{5}=\left(-2\right)^3\)
\(1-2x=\frac{-1}{10}\)
\(2x=1-\frac{-1}{10}\)
\(2x=\frac{11}{10}\)
\(x=\frac{11}{20}\)
Vậy x=\(\frac{11}{20}\)
\(\frac{1}{6}-\left|\frac{1}{2}\cdot x-\frac{1}{3}\right|=\frac{1}{8}\)
\(\left|\frac{1}{2}\cdot x-\frac{1}{3}\right|=\frac{7}{12}\)
\(\Rightarrow\frac{1}{2}x-\frac{1}{3}=\frac{7}{12}\) \(\frac{1}{2}x-\frac{1}{3}=\frac{-7}{12}\)
\(\frac{1}{2}x=\frac{11}{12}\) \(\frac{1}{2}x=\frac{-1}{4}\)
\(x=\frac{11}{6}\) \(x=\frac{-1}{2}\)
Vậy \(x\in\left\{\frac{11}{6};\frac{-1}{2}\right\}\)
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\(\frac{3}{2}x-\frac{2}{3}=\frac{2}{3}:\frac{3}{2}\)
\(\frac{3}{2}x=\frac{4}{9}+\frac{6}{9}\)
\(\frac{3}{2}x=\frac{10}{9}\)
\(x=\frac{10}{9}:\frac{3}{2}\)
\(x=\frac{20}{27}\)
tk mình đi mình làm nốt cho hjhj ^^
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