Advanced MathEasy–MediumSum of solutions of a shifted square
Advanced Math practice question
The equation (x − 1)² = 4 has two solutions. What is their sum?
Answer: 2
x − 1 = ±2 gives x = 3 or x = −1. The sum is 2.
Common wrong answers
- If you answered 0
- 0 forgets the shift of 1 in each solution.
- If you answered 3
- 3 is only the larger solution.
- If you answered 4
- 4 counts only the solution x = 3 and adds 1.
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