If , what is the value of ?
1
0
-25
25
Correct Answer: D
Choice Ahoice D is the correct answer. When an equation equals zero, we still use the same solving strategy.
- Start with the equation:
- Add 25 to both sides:
- Simplify:
- Verify: ✓
This problem demonstrates that when we subtract a number from itself, we get zero: .
💡 Zero Property: The equation always has the solution . This is because only when will .
Choice Ahoice C is incorrect because zero is the result of the equation, not the value of . The right side being zero doesn't mean .
Choice Ahoice D is incorrect because this is the negative of the correct answer. Some students might incorrectly think makes the expression zero.
Choice Ahoice C is incorrect because this might come from treating the problem as division: "25 divided by something equals 0 can't work, so maybe 1?" This reasoning is flawed.