Advanced MathMediumCancelling a common factor with a restriction
Advanced Math practice question
If (x + 1)² = 4(x + 1) and x ≠ −1, what is the value of x?
Answer: 3
Since x + 1 ≠ 0, divide both sides by (x + 1): x + 1 = 4, so x = 3.
Common wrong answers
- If you answered 1
- 1 comes from (x + 1) = 2, taking a square root of 4 wrongly.
- If you answered 4
- 4 is x + 1, not x.
- If you answered -1
- −1 is excluded by the condition x ≠ −1.
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