A positive integer is equal to 4 times its reciprocal. Find that number!
-
-4
-
2
-
3
-
9
Reveal answer
Fill a bubble to check yourself
B
Correct answer
Explanation
Let the number be x (positive integer). The problem states x = 4(1/x), which gives x = 4/x. Multiply both sides by x: x² = 4. Since x must be positive, x = 2. Checking: 2 = 4(1/2) = 4/2 = 2.
AI explanation
To solve this problem, let's assume the positive integer as 'x'.
According to the given information, the positive integer is equal to 4 times its reciprocal.
This can be written as:
x = 4 * (1/x)
Multiplying both sides of the equation by 'x', we get:
x^2 = 4
Taking the square root of both sides, we find:
x = ±√4
Therefore, the positive integer can be either +2 or -2.
However, since the question states that the integer is positive, the correct answer is B) 2.