1. What is the X Times Y Equals 12 Equation?

The equation x × y = 12 represents all possible pairs of numbers that multiply to equal 12. This is a fundamental algebraic equation used to understand multiplicative relationships between numbers.

2. How Does the Calculator Work?

The calculator uses the equation:

Where:

• \( x \) — Input value (cannot be zero)
• \( y \) — Calculated value that satisfies x × y = 12

Explanation: For any non-zero value of x, the calculator finds the corresponding y value that makes the equation true.

3. Mathematical Explanation

Details: The equation x × y = 12 represents a hyperbola in the coordinate plane. All points (x,y) that satisfy this equation lie on this curve. Common factor pairs include (1,12), (2,6), (3,4), (4,3), (6,2), and (12,1).

4. Using the Calculator

Tips: Enter any non-zero value for x to calculate the corresponding y value that satisfies x × y = 12. The calculator will return the result rounded to 4 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter zero?
A: Division by zero is undefined in mathematics, so the calculator will show an error message if you try to enter zero.

Q2: Can I use negative numbers?
A: Yes, negative numbers are valid. For example, if x = -3, then y = -4 since (-3) × (-4) = 12.

Q3: What about fractions and decimals?
A: The calculator accepts any real number except zero. For example, if x = 0.5, then y = 24.

Q4: Are there infinite solutions?
A: Yes, there are infinitely many real number pairs (x,y) that satisfy x × y = 12, excluding x = 0.

Q5: What are some common factor pairs of 12?
A: Common integer pairs include (1,12), (2,6), (3,4), (4,3), (6,2), (12,1) and their negative counterparts.