Advanced MathEasy–MediumEquation with a squared term, from a formula
Advanced Math practice question
The energy E stored in a spring is given by E = 2x² − 8, where x is its extension in centimetres and x > 2. What is x when E = 64?
Answer: 6
2x² − 8 = 64 gives 2x² = 72, x² = 36, x = 6.
Common wrong answers
- If you answered 18
- 18 is 36/2, forgetting the square root.
- If you answered 36
- 36 is x², not x.
- If you answered 5.3
- 5.3 is √28, subtracting 8 instead of adding.
More Advanced Math questions
- Easy–Medium
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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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