Question

Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth

Answer 1

Answer:
`1(1)/(4)`

Explanation:

Given

The equation in terms of a is

`\Rightarrow (a)/(a-1)-(a+5)/(a)=0\\\\\Rightarrow (a)/(a-1)=(a+5)/(a)\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=(5)/(4)\ \text{or}\ 1(1)/(4)`