3. Find the roots of the following equation:1/x+4-1/x-7=11/30

1.	3. Find the roots of the following equation:1/x+4-1/x-7=11/30
Answer» Step-by-step EXPLANATION: ${\dfrac {1}{x}}+4-{\dfrac {1}{x}}-7={\dfrac {11}{30}}$ Let's take it to simplest form ${:}\longrightarrow$ ${\dfrac {1+4-1-7}{x}}={\dfrac {11}{30}}$ ${:}\longrightarrow$ ${\dfrac {5-8}{x}}={\dfrac {11}{30}}$ ${:}\longrightarrow$ ${\dfrac {-3}{x}}={\dfrac {11}{30}}$ Now USE CROSS multiplication method ${:}\longrightarrow$ $30×(-3)=11x$ ${:}\longrightarrow$ $11x=-90$ $\therefore$ ${{\underline{\boxed{\bf {x={\dfrac {(-90)}{11}}}}}}}$

Answer»

Step-by-step EXPLANATION:

${\dfrac {1}{x}}+4-{\dfrac {1}{x}}-7={\dfrac {11}{30}}$