Advanced MathHardProportion that becomes a quadratic
Advanced Math practice question
If 1/x = x/4 and x > 0, what is the value of x?
Answer: 2
Cross-multiply: x · x = 4, so x² = 4 and x = 2 (positive). Check: 1/2 = 2/4.
Common wrong answers
- If you answered 4
- 4 gives 1/4 on the left and 1 on the right — not equal.
- If you answered -2
- −2 also satisfies x² = 4, but the question requires x > 0.
- If you answered 0.25
- 0.25 is 1/4, one side of the equation evaluated with x = 1, not a solution.
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