Here are the essential concepts you must grasp in order to answer the question correctly.
Linear Equations
Linear equations are mathematical statements that express a relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept. In this question, y1 and y2 are linear equations representing two lines in a coordinate system. Understanding how to manipulate and solve these equations is essential for finding their intersection points.
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Product of Functions
The product of functions involves multiplying two or more functions together to create a new function. In this case, y1y2 = 14 means that the product of the two linear functions must equal 14. This concept is crucial for setting up the equation that will allow us to find the values of x that satisfy both conditions simultaneously.
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Quadratic Equations
Quadratic equations are polynomial equations of the form ax^2 + bx + c = 0, where a, b, and c are constants. When we set the product of the two linear functions equal to a constant (14), we can rearrange the equation into a quadratic form. Solving this quadratic equation will yield the values of x that satisfy the original conditions.
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