The correct statement about the equation 9(x) = x* - 576 is:
B. The only zero, 288, can be found when 0 = (x - 288).
To solve for the zeros of the equation, we need to find the values of x that make the left-hand side of the equation equal to zero.
9(x) = x* - 576 can be rewritten as:
9x - x* = 576
Factoring out x from the left-hand side, we get:
x(9 - x*) = 576
To find the zeros, we set the equation equal to zero and solve for x:
0 = x(9 - x*)
This means that either x = 0 or 9 - x* = 0.
If 9 - x* = 0, then x* = 9, which means that x = 288.
Therefore, the only zero of the equation is 288, and it can be found when 0 = (x - 288).
None of the other options accurately represent the zeros of the equation. Option A provides the incorrect zeros of -288 and 288 and is missing a term. Option C provides incorrect zeros of -24 and 29 and is also missing a term. Option D provides the incorrect zero of 24 and is missing a term.