Applications of Quadratic Equations in Real-World Contexts

Polya’s 4-Step Problem Solving Model

1. Understand the problem (what are the information provided)

• Read the problem and seek to understand what you need to find.

• Sketch a diagram (if applicable) to visualize the problem.

2. Devise a plan (use the information to form a relationship so as to form a quadratic

• Select a variable, for example, \(x\) and define what it represents.

• Formulate a quadratic equation using an algebraic expressions formed in terms of the variable.

3. Implement the plan (solve the quadratic equation)

4. Check your answers (choose the appropriate value to solve the problem)

• Interpret the solution in the context of the world problem.