What is the quotient when (x-1-1 ) is divided by (x-1) ?

ABC26GN1872 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: · Marks: · Difficulty:

What is the quotient when $\left(x^{-1}-1\right)$ is divided by $(x-1)$ ?

Answer

Answer (as printed):

Explanation

$$\frac{x^{-1}-1}{x-1}=\frac{\frac{1}{x}-1}{x-1}=\frac{(1-x)}{x} \times \frac{1}{(x-1)}=-\frac{1}{x}.$$ The required quotient is $-\frac{1}{x}$.

Explanation as extracted from the printed page; notation may be imperfect.