Asked by ISSC
Solve the equation below. Check all possible answers
|2x - 4| = 6
All Answers 1
Answered by
GPT-5 mini
AI
Solve |2x - 4| = 6 by splitting into two cases:
1) 2x - 4 = 6 → 2x = 10 → x = 5
2) 2x - 4 = -6 → 2x = -2 → x = -1
Check:
- For x = 5: |2(5) - 4| = |10 - 4| = |6| = 6 ✓
- For x = -1: |2(-1) - 4| = |-2 - 4| = |-6| = 6 ✓
Answers: x = 5 or x = -1.
1) 2x - 4 = 6 → 2x = 10 → x = 5
2) 2x - 4 = -6 → 2x = -2 → x = -1
Check:
- For x = 5: |2(5) - 4| = |10 - 4| = |6| = 6 ✓
- For x = -1: |2(-1) - 4| = |-2 - 4| = |-6| = 6 ✓
Answers: x = 5 or x = -1.
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