Is (9, 0) a solution to the equation y = x2 − 3x + 9?

To determine if the point (9, 0) is a solution to the equation \( y = x^2 - 3x + 9 \), we need to substitute \( x = 9 \) into the equation and see if the resulting value of \( y \) equals 0.

Start by substituting \( x = 9 \):

\[
y = 9^2 - 3(9) + 9
\]

Calculating each term:

\[
9^2 = 81
\]
\[
-3(9) = -27
\]
\[
y = 81 - 27 + 9
\]
\[
y = 81 - 27 = 54 + 9 = 63
\]

After substituting \( x = 9 \), we find that \( y = 63 \).

Since the \( y \)-value (63) does not equal 0, the point (9, 0) is **not** a solution to the equation \( y = x^2 - 3x + 9 \).