Solve.
-The sum of a number and 36 times its reciprocal is 12. Find the number.
A) -6
B) 6
C) 42
D) -30

Question

Quizplus · Accepted Answer

Let's call the number we're trying to find "x". According to the problem, we have the equation x + 36(1/x) = 12. To solve for x, we first need to get rid of the fraction. We can do this by multiplying both sides of the equation by x:

x^2 + 36 = 12x

Now we have a quadratic equation that we can solve by bringing everything to one side and factoring:

x^2 - 12x + 36 = 0

(x-6)(x-6) = 0

x = 6

Since we have a repeated root, the answer is not only B) 6.

Solve. -The Sum of a Number and 36 Times Its Reciprocal