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Absolute value equations describe the distance of a number from zero on a number line. Solving |x - a| = b requires considering both positive and negative cases, as distance is always non-negative.
Formule
|x - a| = b → x - a = b or x - a = -b
Stapsgewijze handleiding
- 1Set up two equations: positive and negative cases
- 2Solve each equation separately
- 3Verify both solutions in the original equation
Uitgewerkte voorbeelden
Invoer
|x - 3| = 5
Resultaat
x = 8 or x = -2
Both values are 5 units away from 3
Veelgemaakte fouten om te vermijden
- ✕Forgetting the negative case
- ✕Not checking solutions in the original equation
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