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DigiCalcs

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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.

الصيغة

|x - a| = b → x - a = b or x - a = -b

دليل خطوة بخطوة

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

أمثلة محلولة

الإدخال
|x - 3| = 5
النتيجة
x = 8 or x = -2
Both values are 5 units away from 3

أخطاء شائعة يجب تجنبها

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

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