Abstract
A major concern of algebra is the solution of equations. It is reasonable to ask questions such as these: whether a given equation has a solution, whether it is possible for an equation to have more than one solution, and whether there is a procedure for solving an equation. This chapter discusses the answers to these questions for polynomial equations of the first and second degree. It shows that the ability to solve equations enables one to tackle a wide variety of applications and word problems. Linear inequalities also play an important role in solving word problems. For example, if one is required to combine food products in such a way that a specified minimum or maximum of protein is provided, one needs to use inequalities. Many important industries, including steel and petroleum refineries, use computers daily to solve problems that involve thousands of inequalities. The solutions enable these concerns to optimize their product mix and their profitability.
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