Advanced MathEasy–MediumPositive number whose root is half of it
Advanced Math practice question
For what positive value of x is √x equal to x/2?
Answer: 4
Squaring: x = x²/4, so x² − 4x = 0 and x(x − 4) = 0; the positive solution is 4.
Common wrong answers
- If you answered 0
- 0 satisfies the equation but is not positive.
- If you answered 2
- 2 gives √2 ≈ 1.41 and 2/2 = 1.
- If you answered 16
- 16 gives 4 and 8.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
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Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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