Question

Giải phương trình giúp em với ạ 140/x -140/(x-6) = -1/6

Answer 1

\(\dfrac{140}{x}-\dfrac{140}{x-6}=\dfrac{-1}{6}\)

\(\Leftrightarrow\dfrac{140\left(x-6\right)-140x}{x\left(x-6\right)}=-\dfrac{1}{6}\)

\(\Leftrightarrow\dfrac{-840}{x\left(x-6\right)}=-\dfrac{1}{6}\)

\(\Leftrightarrow x^2-6x-5040=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=74.05\\x=-68.05\end{matrix}\right.\)

Answer 2

Lời giải:

\(\frac{140}{x}-\frac{140}{x-6}=\frac{-1}{6}\Leftrightarrow \frac{140(x-6-x)}{x(x-6)}=\frac{-1}{6}\)

\(\Leftrightarrow x(x-6)=5040\Leftrightarrow x^2-6x-5040=0\)

\(\Leftrightarrow (x-3)^2-5049=0\)

\(\Leftrightarrow (x-3-\sqrt{5049})(x-3+\sqrt{5049})=0\Rightarrow x=3\pm \sqrt{5049}\)