Tìm giá trị của x để:
\(\left(18,6\cdot\frac{16\cdot x-3}{2}+\frac{139,5-238,25\cdot x}{5}\right):\left(1+8+15+22+...+282+288\right)=\frac{1}{3}\)
Tìm giá trị của biểu thức : \(C=\frac{4x^4+1}{4\left(x+1\right)^2+1}\cdot\frac{4\left(x+2\right)^4+1}{4\left(x+3\right)^4+1}\cdot\cdot\cdot\frac{4\left(x+10\right)^4+1}{4\left(x+11\right)^4+1}\)
TÌM x
\(\left(\left(\frac{3}{4}\cdot x+5\right)-\left(\frac{2}{3}\cdot x-4\right)-\left(\frac{1}{6}\cdot x+1\right)\right)=\left(\frac{1}{3}\cdot x+4\right)-\left(\frac{1}{3}-3\right)\)
\(\Rightarrow\frac{3}{4}x+5-\frac{2}{3}x+4-\frac{1}{6}x-1=\frac{1}{3}x+4-\frac{1}{3}+3\)+3
\(\Rightarrow\left(\frac{3}{4}x-\frac{2}{3}x-\frac{1}{6}x\right)+\left(5+4-1\right)=\frac{1}{3}x+\left(4-\frac{1}{3}+3\right)\)
=>\(\frac{-1}{12}x+8=\frac{1}{3}x+\frac{20}{3}\)\(\Rightarrow\frac{-1}{12}x+8-\frac{1}{3}x=\frac{20}{3}\)
\(\Rightarrow\left(\frac{-1}{12}-\frac{1}{3}\right)x+8=\frac{20}{3}\)
\(\Rightarrow\frac{-5}{12}x+8=\frac{20}{3}\Rightarrow\frac{-5}{12}x=\frac{20}{3}-8\)
\(\Rightarrow\frac{-5}{12}x=\frac{-4}{3}\Rightarrow x=\frac{-4}{3}:\frac{-5}{12}=\frac{16}{5}\)
bạn hãy điền số thích hợp vào chỗ trống:
cho x thỏa mãn
(18,6*16*x-3/2+139,5-238,25*x/5):1+8+15+22+...+282+288=1/3
địt mẹ olm lồn to
a) Tính
\(A=\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot\cdot\cdot\left(1-\frac{1}{2014}\right)\cdot\left(1-\frac{1}{2015}\right)\cdot\left(1-\frac{1}{2016}\right)\)
b) Tìm x:
\(\frac{x-2}{12}+\frac{x-2}{20}+\frac{x-2}{30}+\frac{x-2}{42}+\frac{x-2}{56}+\frac{x-2}{72}=\frac{16}{9}\)
b)
\(x-2.\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)=\frac{16}{9}\)
\(x-2\cdot\left(\frac{1}{3}-\frac{1}{9}\right)=\frac{16}{9}\)
\(x-2=\frac{16}{9}:\left(\frac{1}{3}-\frac{1}{9}\right)\)
\(x-2=8\)
=> x = 10
a)
\(A=\frac{1}{2}.\frac{2}{3}\cdot\frac{3}{4}\cdot\cdot\cdot\frac{2013}{2014}\cdot\frac{2014}{2015}\cdot\frac{2015}{2016}\)
\(A=\frac{1}{2016}\)
A = ( 1 - 1/2) . ( 1 - 1/3 ) . (1-1/4) ....(1-1/2015) . (1-1/2016)
A= 1/2 . 2/3 . 3/4...2014/2015 . 2015/2016
A = 1 . 2 . 3 . 4 ... 2014 . 2015/ 2 . 3 . 4 ... 2015 . 2016
A = 1/ 2016
\(\left(\frac{1}{7}\cdot x-\frac{2}{7}\right)\cdot\left(-\frac{1}{5}\cdot x+\frac{3}{5}\right)\cdot\left(\frac{1}{3}\cdot x+\frac{4}{3}\right)=0\)
( 1/7 . x - 2/7 ) . ( -1.5 . x + 3/5 ) . ( 1/ 3 . x + 4/3) + 0
<=> +) 1/7 . x - 2/7 = 0 +) (- 1 / 5) . x +3/5 = 0 +) 1/ 3 . x + 4/ 3 = 0
x = 2 x = 3 x = 4
Vậy x = 2 : x = 3 ; x=4
tìm x
a) \(\frac{x-1}{2}+\frac{x-2}{5}=\frac{1}{4}+\frac{x-7}{10}\)
b) \(3-\frac{2}{2x-3}=\frac{2}{5}+\frac{1}{2x-3}-\frac{3}{2}\)
c)\(7\cdot\left(x-1\right)+2x\cdot\left(1-x\right)=0\)
d) \(\frac{x+1}{2008}+\frac{x+2}{2017}+\frac{x+3}{2016}=\frac{x+10}{2009}+\frac{x+11}{2008}+\frac{x+12}{2007}\)
e) \(\frac{2}{\left(x-1\right)\cdot\left(x-3\right)}+\frac{5}{\left(x-3\right)\cdot\left(x-8\right)}+\frac{12}{\left(x-8\right)\cdot\left(x-20\right)}-\frac{1}{x-20}=\frac{-3}{4}\)
bài 1: tìm x, biết
\(\frac{1}{4}\cdot\frac{2}{6}\cdot\frac{3}{8}\cdot\frac{4}{10}\cdot\cdot\cdot\cdot\cdot\cdot\cdot\cdot\frac{30}{62}\cdot\frac{31}{64}=2^x\)
bài 2:
cho: p = \(\left(x-4\right)^{\left(x-5\right)^{\left(x-6\right)^{\left(x+5\right)}}}\)
tính p(x)=7
giúp mk vs!!!!!
mk cần gấp!!
Bài làm:
Ta có: \(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.....\frac{30}{62}.\frac{31}{64}=2^x\)
\(\Leftrightarrow\frac{1.2.3.....30.31}{2.2.2.3.2.4.....2.31.2.32}=2^x\)
\(\Leftrightarrow\frac{1}{2^{31}.2^5}=2^x\)
\(\Leftrightarrow\frac{1}{2^{36}}=2^x\)
\(\Rightarrow x=-36\)
mk cần cả giải thích
giúp mk vs!!!
tìm x :
a, \(\frac{3}{4}\cdot x-\frac{1}{5}=\frac{2}{3}\)
b, \(\frac{2}{5}\cdot\left(x+1\right)-\frac{1}{2}=0\)
c, \(\frac{1}{5}\cdot x-\frac{2}{3}=\frac{4}{8}\)
d, \(\left(x-\frac{2}{3}\right)\cdot\left(1-\frac{4}{16}x\right)=0\)
e, \(\left(0,32-x\right)\cdot\left(4,5-\frac{3}{2}x\right)=0\)
giúp mình với , câu nào các bạn không làm được thì bỏ qua đi
Mấy câu trên dễ rồi mình hướng dẫn bạn làm câu d và e
d)
\(\left(x-\frac{2}{3}\right)\cdot\left(1-\frac{4}{16}x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{2}{3}=0\\1-\frac{1}{4}x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=4\end{cases}}\)
Câu e, tương tự nhé bạn
a. \(\frac{3}{4}x-\frac{1}{5}=\frac{2}{3}\)
\(\frac{3}{4}x=\frac{13}{15}\)
\(x=\frac{52}{45}\)
b. \(\frac{2}{5}.\left(x+1\right)-\frac{1}{2}=0\)
\(\frac{2}{5}.\left(x+1\right)=\frac{1}{2}\)
\(x+1=\frac{5}{4}\)
\(x=\frac{1}{4}\)
c.\(\frac{1}{5}.x-\frac{2}{3}=\frac{4}{8}\)
\(\frac{1}{5}.x=\frac{7}{6}\)
\(x=\frac{35}{6}\)
d. \(\left(x-\frac{2}{3}\right).\left(1-\frac{4}{16}x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{2}{3}=0\\1-\frac{4}{16}x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0+\frac{2}{3}\\\frac{4}{16}x=1\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{2}{3}\\x=4\end{cases}}}\)
Vậy x = 2/3 hoặc x = 4
e. \(\left(0,32-x\right).\left(4,5-\frac{3}{2}x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}0,32-x=0\\4,5-\frac{3}{2}x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0,32-0\\\frac{3}{2}x=4,5\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=0,32\\x=3\end{cases}}}\)
Vậy x = 0,32 hoặc x = 3
Tìm x:
a) \(\frac{3}{\left(x+2\right)\cdot\left(x+5\right)}\)+\(\frac{5}{\left(x+5\right)\cdot\left(x+10\right)}\)+\(\frac{7}{\left(x+10\right)\cdot\left(x+17\right)}\)= \(\frac{x}{\left(x+2\right)\cdot\left(x+17\right)}\)
Với x không thuộc (-2;-5;-10;-17)
b) \(\frac{2}{\left(x-1\right)\cdot\left(x-3\right)}\)+\(\frac{5}{\left(x-3\right)\cdot\left(x-8\right)}\)+\(\frac{12}{\left(x-8\right)\cdot\left(x-20\right)}\)-\(\frac{1}{20}\)= \(\frac{-3}{4}\)
Với x không thuộc (1;3;8;20)
c)\(\frac{x+1}{2019}\)+\(\frac{x+2}{2018}\)= \(\frac{x-3}{2017}\)\(\frac{x-4}{2016}\)