Ta có:
\(\left(3\dfrac{1}{4}:x\right).\left(-1\dfrac{1}{4}\right)=-\dfrac{5}{3}-\dfrac{5}{6}\\ \Leftarrow\left(\dfrac{13}{4}:x\right).\left(-\dfrac{5}{4}\right)=-\dfrac{10}{6}-\dfrac{5}{6}\\ \Rightarrow\left(\dfrac{13}{4}:x\right).\left(-\dfrac{5}{4}\right)=-\dfrac{5}{2}\\\Rightarrow\dfrac{13}{4}:x=\dfrac{5}{2}:\left(-\dfrac{5}{4}\right)\\ \Rightarrow\dfrac{13}{4}:x=-2\\ \Rightarrow x=\dfrac{13}{4}:\left(-2\right)\\ \Rightarrow x=-\dfrac{13}{8}\)
Vậy \(x=-\dfrac{13}{8}\)
Mình sửa lại nhé!
Ta có:
\(\left(3\dfrac{1}{4}:x\right).\left(-1\dfrac{1}{4}\right)=-\dfrac{5}{3}-\dfrac{5}{6}\\ \Rightarrow\left(\dfrac{13}{4}:x\right).\left(-\dfrac{5}{4}\right)=-\dfrac{5}{2}\\ \Rightarrow\dfrac{13}{4}:x=-\dfrac{5}{2}:\left(-\dfrac{5}{4}\right)\\ \Rightarrow\dfrac{13}{4}:x=2\\ \Rightarrow x=\dfrac{13}{4}:2\\ \Rightarrow x=\dfrac{13}{8}\)
Vậy \(x=\dfrac{13}{8}\)