Advanced MathEasy–MediumHidden perfect square in a quadratic
Advanced Math practice question
If x² − 12x + 36 = 25 and x < 6, what is the value of x?
Answer: 1
The left side is (x − 6)², so x − 6 = ±5. The branch with x < 6 gives x = 1.
Common wrong answers
- If you answered 5
- 5 is the square root of 25; x itself is 6 − 5 = 1.
- If you answered 11
- 11 solves the other branch (x − 6 = 5) but violates x < 6.
- If you answered -1
- x − 6 = −5 gives x = 6 − 5 = +1.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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