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\(\frac{-6}{3}\left[x-\frac{1}{4}\right]=2x-1\)
\(-2x-\left[\frac{1}{4}.-2\right]=2x-1\)\
\(-2x-\frac{-1}{2}=2x-1\)
\(2x--2x=1-\frac{-1}{2}\)
\(\)\(4x=\frac{3}{2}\)
\(x=\frac{3}{2}:4\)
\(x=\frac{3}{8}\)
\(\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+...+\frac{1}{x\left(x+3\right)}=\frac{98}{1545}\)
<=>\(\frac{1}{3}.\left(\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+...+\frac{1}{x}-\frac{1}{x+3}\right)=\frac{98}{1545}\)
<=>\(\frac{1}{3}.\left(\frac{1}{3}-\frac{1}{x+3}\right)=\frac{98}{1545}\)
<=>\(\frac{1}{3}-\frac{1}{x+3}=\frac{98}{1545}:\frac{1}{3}\)
<=>\(\frac{1}{3}-\frac{1}{x+3}=\frac{98}{515}\)
<=>\(\frac{1}{x+3}=\frac{1}{3}-\frac{98}{515}\)
<=>\(\frac{1}{x+3}=\frac{221}{1545}\)
<=> \(x=?????\)
Hình như đề sai hay sao vậy bạn?
hai dòng dưới đề ý trong ngoặc lúc đầu đâu có \(\frac{1}{3}\)
\(\frac{2}{3}+\frac{8}{35}< \frac{x}{105}< \frac{1}{7}+\frac{2}{5}+\frac{1}{3}\)
\(\frac{94}{105}< \frac{x}{105}< \frac{92}{105}\)
\(\Rightarrow94< x< 92\)
mà x là số tựu nhiên => \(x\in\varnothing\)
a) \(x+\frac{1}{6}=-\frac{3}{8}\)
\(x=-\frac{3}{8}-\frac{1}{6}\)
\(x=-\frac{13}{24}\)
~ Thiên mã ~
b) \(\frac{1}{2}.x+\frac{1}{8}.x=\frac{3}{4}\)
\(x.\left(\frac{1}{2}+\frac{1}{8}\right)=\frac{3}{4}\)
\(\frac{5}{8}.x=\frac{3}{4}\)
\(x=\frac{6}{5}\)
~ Thiên Mã ~
a) \(\frac{3x-6}{x+4}=\frac{2\left(x+5\right)+\left(x-3\right)}{x-2}\)
\(\frac{3\left(x-2\right)}{x+4}=\frac{2\left(x+5\right)+x-3}{x-2}\)
\(\frac{3\left(x-4\right)}{x+4}=\frac{3x+7}{x-2}\)
\(3\left(x-2\right)\left(x-2\right)=\left(3x+7\right)\left(x+4\right)\)
\(3\left(x-2\right)^2=\left(3x+7\right)\left(x+4\right)\)
\(3x^2-12x+12=3x^2+12x+7x+28\)
\(3x^2-12x+12=3x^2+19x+28\)
\(-12x+12=19x+28\)
\(12=19x+28+12x\)
\(19x+28+12x=12\) (chuyển vế)
\(31x+28=12\)
\(31x=12-28\)
\(31x=-16\)
\(x=-\frac{16}{31}\)
\(\Rightarrow x=-\frac{16}{31}\)
Ta có\(-\frac{2}{3}\) \(X\) (\(X\) \(-\frac{1}{4}\) ) = \(\frac{1}{3}\)\(X\) (\(2X-1\) )
\(\Rightarrow\) \(\frac{-2}{3}\) \(X^2\)\(+\) \(\frac{1}{6}\) \(X\) = \(\frac{2}{3}\) \(X^2\) \(-\) \(\frac{1}{3}\) \(X\)
\(\Rightarrow\) \(\frac{-2}{3}\) \(X\) \(+\) \(\frac{1}{6}\) = \(\frac{2}{3}\) \(X\) \(-\) \(\frac{1}{3}\)
\(\Rightarrow\) \(\frac{-2}{3}\) \(X\) \(+\) \(\frac{1}{6}\) \(+\) \(\frac{1}{3}\) = \(\frac{2}{3}\) \(X\)
\(\Rightarrow\) \(\frac{-2}{3}\) \(X\) \(+\) \(\frac{1}{2}\) = \(\frac{2}{3}\) \(X\)
\(\Rightarrow\) \(\frac{1}{2}\) = \(\frac{2}{3}\) \(X\) \(+\) \(\frac{2}{3}\) \(X\)
\(\Rightarrow\) \(\frac{1}{2}\) = \(X\) (\(\frac{2}{3}\) \(+\) \(\frac{2}{3}\) )
\(\Rightarrow\) \(\frac{1}{2}\) = \(\frac{4}{3}\) \(X\)
\(\Rightarrow\) \(X\) = \(\frac{1}{2}\) \(\div\) \(\frac{4}{3}\)
\(\Rightarrow\) \(X\) = \(\frac{3}{8}\)
Có gì không hiểu cứ hỏi tớ nhá !
Thank you