16Hit1600
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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