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ukm cho mk 1 tik và theo dõi mk nha để mk tiện giúp nhé bn!
a)\(\frac{-5}{6}\).\(\frac{120}{25}\)<x<\(\frac{-7}{15}\).\(\frac{9}{14}\)
-4 <x<\(\frac{-3}{10}\)
\(\frac{-40}{10}\)< x <\(\frac{-3}{10}\)=>x E {-39:-38:-37:.....:-4}
b)\(\left(\frac{-5}{3}\right)^3\)<x<\(\frac{-24}{35}.\frac{-5}{6}\)
\(\frac{-875}{189}< x< \frac{108}{189}\)
=> x E {\(\frac{-874}{189},\frac{-873}{189},......,\frac{107}{189}\)}
a) \(\left(x+\frac{1}{4}\right)^2+\frac{11}{25}=\frac{18}{25}\)
\(\Rightarrow\left(x+\frac{1}{4}\right)^2=\frac{7}{25}\)
\(\Rightarrow\) Không có x
\(\left(\frac{x}{10}-\frac{2}{3}\right)^2-\frac{1}{25}=0\)
\(\Leftrightarrow\left(\frac{x}{10}-\frac{2}{3}\right)^2=\frac{1}{25}\)
\(\Leftrightarrow\left(\frac{x}{10}-\frac{2}{3}\right)^2=\left(\pm\frac{1}{5}\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{x}{10}-\frac{2}{3}=\frac{1}{5}\\\frac{x}{10}-\frac{2}{3}=-\frac{1}{5}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{26}{3}\\x=\frac{14}{3}\end{cases}}\)
\(\frac{5}{8}< \frac{4}{x}< \frac{5}{7}\)
\(\frac{5}{8}\cdot\frac{4}{4}< \frac{4}{x}\cdot\frac{5}{5}< \frac{5}{7}\cdot\frac{4}{4}\)
\(\frac{20}{32}< \frac{20}{5x}< \frac{20}{28}\)
\(\Rightarrow\frac{20}{32}< \frac{20}{30}< \frac{20}{28}\)
\(5x=30\)
\(x=6\)
Bài 3
\(\frac{x-1}{9}=\frac{8}{3}\)
\(\Rightarrow\left(x-1\right).3=8.9\)
\(\Rightarrow\left(x-1\right).3=72\)
\(\Rightarrow x-1=24\)
\(\Rightarrow x=25\)
\(\frac{-x}{4}=\frac{-9}{x}\)
\(\Rightarrow\left(-x\right).x=\left(-9\right).4\)
\(\Rightarrow-x=-36\)
\(\Rightarrow x=36\)
\(\frac{x}{4}=\frac{18}{x+1}\)
\(\Rightarrow x.\left(x+1\right)=4.18\)
\(\Rightarrow x.\left(x+1\right)=72\)
Vì x và x + 1 là 2 số tự nhiên liên tiếp
\(\Rightarrow x\left(x+1\right)=8.9\)
\(\Rightarrow\orbr{\begin{cases}x=8\\x=8\end{cases}}\)
Bài 4
\(\frac{x-4}{y-3}=\frac{4}{3},x-y=5\)
Ta có :
\(x-y=5\)
\(\Rightarrow x=5+y\)
\(\Rightarrow\frac{y+5-4}{y-3}=\frac{4}{3}\)
\(\Rightarrow\frac{y+1}{y-3}=\frac{4}{3}\)\(\)
\(\Rightarrow\left(y+1\right).3=\left(y-3\right).4\)
\(\Rightarrow y.3+1.3=y.4-3.4\)
\(\Rightarrow y.3+3=y.4-12\)
\(\Rightarrow y.3-y.4=-12-3\)
\(\Rightarrow-1y=-15\)
\(\Rightarrow y=\left(-15\right):\left(-1\right)\)
\(\Rightarrow y=15\)
Vì x = y + 5
\(\Rightarrow x=15+4\)
\(\Rightarrow x=19\)
Vậy x = 19 , y = 15
\(\frac{-x}{4}=\frac{-9}{x}\)
\(\Rightarrow\left(-x\right).x=4.\left(-9\right)\)
\(\Rightarrow-x=-9;x=4\)
\(\Rightarrow x=9;x=4\)