x/3+x/4=1/5
Giup mk nhanh nha
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a, \(x^2+y^2-2x+6y-30\)
\(=x^2-2x+1+y^2+6y+9-40\)
\(=\left(x-1\right)^2+\left(y+3\right)^2-40\ge-40\)
\(min=-40\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=-3\end{matrix}\right.\)
a)x^2+y^2-2x+6y-30=(x-1)^2+(y+3)^2-40\(\ge\) -40
dấu = xảy ra khi x=1,y=-3
\(x+\frac{2}{15}=\frac{1}{3}\)
\(x=\frac{1}{3}-\frac{2}{15}\)
\(x=\frac{1}{5}\)
h, \(h,\frac{1}{3}-\frac{2}{3}:x=\frac{1}{4}\)
\(\frac{2}{3}:x\)= \(\frac{1}{3}-\frac{1}{4}\)
\(\frac{2}{3}:x=\frac{1}{12}\)
\(x=\frac{2}{3}:\frac{1}{12}\)
\(x=8\)
\(\frac{2}{3}\left(x-1\right)+\frac{4}{7}\left(2x-3\right)=\frac{1}{21}\left(x-6\right)\)
\(\frac{2}{3}x-\frac{2}{3}+\frac{8}{7}x-\frac{12}{7}=\frac{1}{21}x-\frac{6}{21}\)
\(\frac{2}{3}x+\frac{8}{7}x-\frac{1}{21}x=\frac{2}{3}+\frac{12}{7}-\frac{6}{21}\)
\(\frac{14}{21}x+\frac{24}{21}x-\frac{1}{21}x=\frac{14}{21}+\frac{36}{21}-\frac{6}{21}\)
\(x\left(\frac{14}{21}+\frac{24}{21}-\frac{1}{21}\right)=\frac{14+36-6}{21}\)
\(\frac{37}{21}x=\frac{44}{21}\)
\(x=\frac{44}{21}:\frac{37}{21}=\frac{44}{37}\)
x-\(\frac{1}{4}\)=\(\frac{5}{3}\) x:\(\frac{2}{3}\)=\(\frac{1}{2}\)
x =\(\frac{5}{3}\)+\(\frac{1}{4}\) x =\(\frac{1}{2}\)x\(\frac{2}{3}\)
x =\(\frac{20}{12}\)+\(\frac{3}{12}\)=\(\frac{23}{12}\) x =\(\frac{2}{6}\)=\(\frac{1}{2}\)
Hok tốt!
@Kaito Kid
\(\frac{x}{3}+\frac{x}{4}=\frac{1}{5}\)
\(\Rightarrow\frac{20x}{60}+\frac{15x}{60}=\frac{12}{60}\)
\(\Rightarrow20x+15x=12\)
\(\Rightarrow35x=12\)
\(\Rightarrow x=\frac{12}{35}\)