Question
Q13 Maya, Liam, and Zoe are discussing the solution set to the equation x^2-4=0
Maya says the solution is {2}
Maya says the solution is {2}
Answers
GPT-4o mini
Maya's statement that the solution is \(\{2\}\) is incomplete. The equation \(x^2 - 4 = 0\) can be factored as \((x - 2)(x + 2) = 0\). This gives us two solutions:
1. \(x - 2 = 0 \quad \Rightarrow \quad x = 2\)
2. \(x + 2 = 0 \quad \Rightarrow \quad x = -2\)
Therefore, the complete solution set to the equation \(x^2 - 4 = 0\) is \(\{ -2, 2 \}\).
1. \(x - 2 = 0 \quad \Rightarrow \quad x = 2\)
2. \(x + 2 = 0 \quad \Rightarrow \quad x = -2\)
Therefore, the complete solution set to the equation \(x^2 - 4 = 0\) is \(\{ -2, 2 \}\).