Question

If \( (a - 3)^2 + |b - 3| = 0 \), \( (a - 3)^2 + |b - 3| = 0 \), what is the value of \( a - b \)?

• A. -1
• B. 0
• C. 1
• D. 2
• E. 3

Hint:

When dealing with absolute value equations, isolate and solve for the variable to determine its value.

Answer 1

The Correct Option is B

For \( (a - 3)^2 + |b - 3| = 0 \), both terms must be equal to 0. Thus, \( (a - 3)^2 = 0 \) and \( |b - 3| = 0 \). From \( (a - 3)^2 = 0 \), we get \( a = 3 \). From \( |b - 3| = 0 \), we get \( b = 3 \). Therefore, \( a - b = 3 - 3 = 0 \).
Final Answer: \[ \boxed{0} \]