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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.

Формула

|x - a| = b → x - a = b or x - a = -b

Водич чекор-по-чекор

1Set up two equations: positive and negative cases
2Solve each equation separately
3Verify both solutions in the original equation

Worked Examples

Влез

|x - 3| = 5

Резултат

x = 8 or x = -2

Both values are 5 units away from 3

Common Mistakes to Avoid

✕Forgetting the negative case
✕Not checking solutions in the original equation

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