Advanced MathEasy–MediumNumber from a square and a linear clue
Advanced Math practice question
The square of a positive number is 19 more than twice the number minus 4. What is the number?
Answer: 5
n² = 2n − 4 + 19 gives n² − 2n − 15 = (n − 5)(n + 3) = 0, so n = 5.
Common wrong answers
- If you answered 3
- 3 gives 9 against 2(3) + 15 = 21.
- If you answered 19
- 19 copies a constant.
- If you answered -3
- −3 is the negative root.
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- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - 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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