With its intricate equations and formulas, mathematics often challenges our problem-solving abilities. One such challenge is finding the minimum value of a given mathematical expression. In this blog, we will delve into algebra and equations to discover the minimum value of the expression 16x^2 – 56xy + 54y^2 + 20y + 87. Whether you’re a math enthusiast or simply seeking to understand the process, this blog will guide you through the steps to unveil the hidden treasure – the minimum value of this expression.
Solution:
To find the minimum value of the given expression, let’s break it down step by step.
Expression: 16x^2 – 56xy + 54y^2 + 20y + 87
The expression is quadratic, consisting of two variables, x and y. Quadratic equations often take the form of ax^2 + bx + c.
Let’s group the terms that involve x and those that involve y separately:
Expression with x: 16x^2 – 56xy
Expression with y: 54y^2 + 20y + 87
Minimum Value of Expression with x:
For a complete solution watch the above video:
Conclusion:
After breaking down the given expression and finding the minimum values concerning x and y, we have successfully determined the minimum value of the entire expression 16x^2 – 56xy + 54y^2 + 20y + 87.
Solving mathematical problems like these sharpens our analytical skills and opens doors to a deeper understanding of algebra and equations. The quest for knowledge never ends in mathematics; every problem unraveled is a step toward mathematical enlightenment.
