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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.
Fórmula
|x - a| = b → x - a = b or x - a = -b
Guia passo a passo
- 1Set up two equations: positive and negative cases
- 2Solve each equation separately
- 3Verify both solutions in the original equation
Exemplos resolvidos
Entrada
|x - 3| = 5
Resultado
x = 8 or x = -2
Both values are 5 units away from 3
Erros comuns a evitar
- ✕Forgetting the negative case
- ✕Not checking solutions in the original equation
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