The sum of a number and 6 times its reciprocal is 7. Find the number.
A) 6
B) 1
C) 1 or 6
D) 7

Name: The sum of a number and 6 times its reciprocal is 7. Find the number. A) 6 B) 1 C) 1 or 6 D) 7
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Question

Quizplus · Accepted Answer

The equation can be set up as x + 6(1/x) = 7. Multiplying through by x to clear the fraction gives x^2 + 6 = 7x, which simplifies to x^2 - 7x + 6 = 0. Factoring gives (x-1)(x-6) = 0, so x = 1 or x = 6.

The Sum of a Number and 6 Times Its Reciprocal