Advanced MathMediumSmallest positive solution of a quartic
Advanced Math practice question
What is the smallest positive solution to the equation x⁴ = 16x²?
Answer: 4
x⁴ − 16x² = x²(x² − 16) = 0, so x = 0, 4, or −4. The smallest positive solution is 4.
Common wrong answers
- If you answered 0
- 0 is a solution but not positive.
- If you answered 2
- 2 uses x² = 4 instead of x² = 16.
- If you answered 16
- 16 is x², not x.
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