(6)

This equation resembles a quadratic in , which can be analyzed using the quadratic formula. Rearranging gives . In this case, , , and . By employing the quadratic formula, the values of can be derived as , which simplifies to . Thus, the solutions can be expressed as and .

Understanding the nature of this equation not only highlights the relationship between and but also provides a real-world application in optimization problems, where such equations can model constraints in areas like economics or engineering. By knowing how to solve for in terms of , one can optimize resources effectively, such as maximizing output while minimizing costs.