To solve for [tex]\( B \)[/tex] given the equation [tex]\( A^2 + B^2 = A^2 + X^2 \)[/tex]:
1. Start with the given equation:
[tex]\[
A^2 + B^2 = A^2 + X^2
\][/tex]
2. Subtract [tex]\( A^2 \)[/tex] from both sides to isolate [tex]\( B^2 \)[/tex]:
[tex]\[
B^2 = X^2
\][/tex]
3. To solve for [tex]\( B \)[/tex], take the square root of both sides:
[tex]\[
B = \pm X
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{\pm X}
\][/tex]
Therefore, the correct option is:
a) [tex]\(\pm X\)[/tex]
