Question

Ariel is trying to determine if x = -3 squared is a solution to the quadratic equation negative 3x - 9x = 0

Answer 1

To determine if \( x = -3 \) squared is a solution to the quadratic equation \( -3x - 9x = 0 \), we first simplify the equation:

\[
-3x - 9x = -12x
\]

Thus, we can rewrite the equation as:

\[
-12x = 0
\]

Next, we can solve for \( x \):

\[
x = 0
\]

Now, let's evaluate if \( x = -3 \) squared is a solution. First, we need to calculate \( (-3)^2 \):

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

Now we check if \( x = 9 \) is a solution to the equation \( -12x = 0 \).

Substituting \( x = 9 \) into the equation:

\[
-12(9) = -108 \neq 0
\]

Since \( -108 \) does not equal \( 0 \), \( x = 9 \) is not a solution to the equation \( -12x = 0 \).

Thus, \( x = -3 \) squared is **not** a solution to the quadratic equation \( -3x - 9x = 0 \).