16Hit 1600
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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