Question

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

Answer 1

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$${\displaystyle {{\underline{\boxed{\bf {x={\dfrac {(-90)}{11}}}}}}}}$