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Precalc0011to0016-page1 - PART B SOLVING EQUATIONS A...

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(Section 0.11: Solving Equations) 0.11.1 SECTION 0.11: SOLVING EQUATIONS LEARNING OBJECTIVES • Know how to solve linear, quadratic, rational, radical, and absolute value equations. PART A: DISCUSSION • Much of precalculus is devoted to solving equations of various types. In this section, we will focus on solving basic algebraic equations. • We will solve polynomial equations more generally in Chapter 2, exponential and logarithmic equations in Chapter 3, and trigonometric and inverse trigonometric equations in Chapters 4 and 5. We will solve systems of equations in Chapters 7 and 8.
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Unformatted text preview: PART B: SOLVING EQUATIONS A solution to an equation in x is a number that makes the equation true when the number is substituted for x . • For now, we only consider real solutions. We solve an equation by finding its solution set , the set of all solutions. When solving an equation, we often write a sequence of equivalent equations , which have the same solution set . • Adding, subtracting, multiplying, and dividing the same nonzero number on both sides of an equation maintains equivalence....
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