Solve.
-The sum of a number and 5 times its reciprocal is 6. Find the number.
A) 5
B) 1 or 5
C) 6
D) 1

Question

Quizplus · Accepted Answer

Let's say the number is x. The problem states that the sum of a number (x) and 5 times its reciprocal (5/x) is 6. So, we can write the equation as:
x + 5/x = 6
Multiplying both sides by x, we get:
x^2 + 5 = 6x
Bringing all the terms to one side, we get:
x^2 - 6x + 5 = 0
Factoring the quadratic, we get:
(x-1)(x-5) = 0
Therefore, the solutions are x=1 and x=5. Both of these solutions satisfy the original equation. So, the best choice is B, which includes both options.

Solve. -The Sum of a Number and 5 Times Its Reciprocal