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2.4 Other Types of Equations

2.4 Other Types of Equations - Other Types of Other Types...

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Unformatted text preview: Other Types of Other Types of Equations Section 2.4 Definition of Absolute Value Definition of Absolute Value c The absolute value of a number c is denoted and is defined as follows: If c ≥ 0, then c = c. If c < 0, then c = −c If c and d are real numbers, then c−d is the distance between c and d on the number line. c is the distance from c to 0 on the number line. Let c and d represent real numbers. 1. 2. 4. 5. c ≥ 0 and c > 0 when c ≠ 0 c =−c 3. cd = c • d c c = , where d ≠ 0 d d c+d ≤ c + d 6. c = c = ±c 2 Power Principle Power Principle If both sides of an equation are raised to the same positive integer power, then every solution of the original equation is a solution of the new equation. However, the new equation may have solutions that are not solutions of the original one. Joke Time Joke Time Why did the tomato blush? He saw the salad dressing! What did the dog yell when it saw the pieces of a fallen tree? Bark! Bark! ...
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