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1300_section1o8 - | x | = C has no solution(since absolute...

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1 Section 1.8 – Solving Absolute Value Equations Absolute Value: Think about absolute value as being the distance from zero. Examples: 1. |5| = 2. |-13| = 3. | 2+3(1-5)| = 4. Evaluate the following when 5 = x : 9 - x 5. Evaluate the following when 2 = x : 2 4 2 + x x Absolute Value Equations: Equations of the form 2 = x or 5 1 4 2 = - x are absolute value equations. To solve an equation of the form C x = , use the following property: If C is positive, then | x | = C is equivalent to x = ± C . (2 solutions!) If C is negative, then
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Unformatted text preview: | x | = C has no solution (since absolute values can not be negative) (no solution!) • If C = 0 , then the solution of | x | = 0 is x = 0. (1 solution!) If the absolute value equation is more complicated than C x = , isolate the absolute value first and then solve it. Examples: 1. Solve | x | = 8 2 2. Solve 8 4 2 =-x 3. Solve 14 6 2 5 = +-x 4. Solve 18 6 4 2 2 = + + x 5. Solve 2-= x . 6. Solve 5 4 2-=-x 7. Solve 4 5 1 2 = +-x 8. Solve 5 5 2 = + x...
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