(x+3)×(y-6)=-4 giup minh ,tick cho
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\(x+3\frac{1}{2}=24\frac{1}{4}-x\)
\(\Leftrightarrow x+x=24\frac{1}{4}-3\frac{1}{2}\)
\(\Leftrightarrow2x=\frac{94}{4}-\frac{14}{4}\)
\(\Leftrightarrow2x=\frac{90}{4}=\frac{45}{2}\)
\(\Leftrightarrow x=\frac{45}{2}:2\)
\(\Leftrightarrow x=\frac{45}{4}\)
a/ \(\frac{x-1}{x+5}=\frac{6}{7}\Rightarrow7\left(x-1\right)=6\left(x+5\right)\Rightarrow7x-7=6x+30\Rightarrow x=37\)
b/ \(\frac{x-2}{x-1}=\frac{x+4}{x+7}\Rightarrow\left(x-2\right)\left(x+7\right)=\left(x+4\right)\left(x-1\right)\Rightarrow x^2+5x-14=x^2+3x-4\)
\(\Rightarrow2x=10\Rightarrow x=5\)
168-9*y=1+2+3+4+5+6+7+8+9
168-9*y=45
9*y=648-45
9*y=603
y=603/9
y=67
\(\frac{1}{x^2+2yz}+\frac{1}{y^2+2xz}+\frac{1}{z^2+2xy}\ge\frac{\left(1+1+1\right)^2}{x^2+y^2+z^2+2xy+2yz+2xz}=\frac{9}{\left(x+y+z\right)^2}=9\)
Dấu "=" xảy ra <=> \(\hept{\begin{cases}x+y+z=1\\x=y=z\end{cases}\Leftrightarrow x=y=z=\frac{1}{3}}\)
A= 3( 1+3+3^2+3^3+3^4+3^5+3^6+3^7+3^8) chia hết cho 3
\(\frac{5}{x}-\frac{4}{3}=\frac{1}{6}\)
\(\frac{5}{x}=\frac{1}{6}+\frac{4}{3}\)
\(\frac{5}{x}=\frac{3}{2}\)
\(\Rightarrow3x=10\)
\(\Rightarrow x=\frac{10}{3}\)
\(\frac{5}{x}-\frac{4}{3}=\frac{1}{6}\)
\(\frac{5}{x}=\frac{1}{6}+\frac{4}{3}\)
\(\frac{5}{x}=\frac{3}{2}\)
\(3x=5.2\)
\(3x=10\)
\(x=10:3\)
\(\Rightarrow x\in\)tập rỗng