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

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

Quizplus · Accepted Answer

The equation formed from the given condition is $x + \frac{1}{x} = -2$. Multiplying both sides by $x$ gives a quadratic equation $x^2 + 1 = -2x$, which simplifies to $x^2 + 2x + 1 = 0$. This factors to $(x + 1)^2 = 0$, indicating $x = -1$ as the only solution.

Solve. -The Sum of a Number and Its Reciprocal Is -2