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\(\frac{2}{x}=\frac{y}{15}=\frac{\left(-25\right)}{75}\)
\(\Rightarrow\frac{y}{15}=\frac{\left(-1\right)}{3}\)
\(\frac{y}{15}=\frac{\left(-5\right)}{15}\)
\(\Rightarrow15y=15\times\left(-5\right)\)
\(15y=\left(-75\right)\)
\(y=\left(-75\right)\div15\)
\(y=\left(-5\right)\)
\(\Rightarrow\frac{2}{x}=\frac{\left(-5\right)}{15}\)
\(\frac{2}{x}=\frac{\left(-1\right)}{3}\)
\(\Rightarrow-x=3\times2\)
\(-x=6\)
\(x=\left(-6\right)\)
\(V\text{ậy}x=\left(-6\right);y=\left(-5\right)\)
A = \(\dfrac{1}{3}\) + \(\dfrac{1}{6}\) + \(\dfrac{1}{10}\) + \(\dfrac{1}{15}\) + ..+ \(\dfrac{1}{55}\)+ \(\dfrac{1}{66}\)
A = 2 \(\times\) ( \(\dfrac{1}{6}\) + \(\dfrac{1}{12}\) + \(\dfrac{1}{20}\) + \(\dfrac{1}{30}\) +...+ \(\dfrac{1}{110}\) + \(\dfrac{1}{132}\))
A = 2 \(\times\) ( \(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\)+ \(\dfrac{1}{5.6}\) +...+ \(\dfrac{1}{10.11}\)+ \(\dfrac{1}{11.12}\))
A = 2 \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\) + \(\dfrac{1}{5}\) - \(\dfrac{1}{6}\) +...+ \(\dfrac{1}{10}\) - \(\dfrac{1}{11}\)+ \(\dfrac{1}{11}\) - \(\dfrac{1}{12}\))
A = 2 \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{12}\))
A = 1 - \(\dfrac{1}{6}\) < 1
Vậy A = \(\dfrac{1}{3}\) + \(\dfrac{1}{6}\) + \(\dfrac{1}{10}\) + \(\dfrac{1}{15}\) + ...+ \(\dfrac{1}{55}\)+ \(\dfrac{1}{66}\) < 1
(x-1)^2=9
=> (x-1)^2 = 3^2
=> x-1= 3
=> x = 3 + 1
=> x =4
\(\left(x-1\right)^2=9\)
\(\Leftrightarrow\left(x-1\right)^2=3^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=3\\x-1=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3+1\\x=-1+3\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=4\\x=2\end{cases}}}\)
Vậy \(x=4\)hoặc \(x=2\)
\(\left(x-3\right)^3+15=7\)
\(\Leftrightarrow\left(x-3\right)^3=7-15\)
\(\Leftrightarrow\left(x-3\right)^3=-8\)
\(\Leftrightarrow\left(x-3\right)^3=\left(-2\right)^3\)
\(\Leftrightarrow x-3=-2\)
\(\Leftrightarrow x=-2+3\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
(x + 3) - (x - 6) = 15.(-2)
=> x + 3 - x + 6 = -30
=> 0x + 9 = -30
=> 0x = -39 (vô lí).
Vậy x thuộc rỗng.
x-1/15=1/10
x=1/10+1/15
x=1/6
Học tốt
\(x-\frac{1}{15}=\frac{1}{10}\)
\(\Rightarrow x=\frac{1}{10}+\frac{1}{15}\)
\(\Rightarrow x=\frac{1}{6}\)