Question

16
Multiple Answer 1 point
Find the solutions to 9x2 - 63x= 0.
Check all that apply.
x =0
x=-7
x =7
x=9

Answer 1

To find the solutions to the equation \(9x^2 - 63x = 0\), we can factor the equation.

First, factor out the common term:

\[
9x(x - 7) = 0
\]

Now we have a product that equals zero, so we can set each factor to zero:

1. \(9x = 0\)
2. \(x - 7 = 0\)

From \(9x = 0\):

\[
x = 0
\]

From \(x - 7 = 0\):

\[
x = 7
\]

So the solutions to the equation \(9x^2 - 63x = 0\) are \(x = 0\) and \(x = 7\).

Now looking at the multiple-choice options:

- \(x = 0\) (Correct)
- \(x = -7\) (Incorrect)
- \(x = 7\) (Correct)
- \(x = 9\) (Incorrect)

Therefore, the correct answers are:
- \(x = 0\)
- \(x = 7\)