The sum of a number and its reciprocal is - 2. Find the number.
A) -1
B) 1 or -1
C) 2
D) 1

Name: The sum of a number and its reciprocal is - 2. Find the number. A) -1 B) 1 or -1 C) 2 D) 1
Brand: Quizplus
Rating: 4.7 (35 reviews)

Question

Quizplus · Accepted Answer

The equation representing the given condition is $x + \frac{1}{x} = -2$. Multiplying both sides by $x$ to clear the denominator gives $x^2 + 1 = -2x$, which simplifies to $x^2 + 2x + 1 = 0$. Factoring this equation gives $(x + 1)^2 = 0$, indicating that $x = -1$ is the only solution.

The Sum of a Number and Its Reciprocal Is -