Question

Solve the factored quadratic equation 0=−13x(x−6).(1 point)
Responses

The solution set is x={0,6}.
The solution set is x equals left brace 0 comma 6 right brace .

The solution set is x={13,6}.
The solution set is x equals left brace Start Fraction 1 over 3 End Fraction comma 6 right brace .

The solution set is x={0,−6}.
The solution set is x equals left brace neagtive 0 comma negative 6 right brace .

The solution set is x={−6,3}.

Answer 1

To solve the factored quadratic equation \( 0 = -13x(x - 6) \), we can set each factor equal to zero.

The equation can be written as:

\[
-13x = 0 \quad \text{or} \quad (x - 6) = 0
\]

From the first factor:
\[
-13x = 0 \implies x = 0
\]

From the second factor:
\[
x - 6 = 0 \implies x = 6
\]

Thus, the solution set is \( x = \{ 0, 6 \} \).

The correct response is:

**The solution set is x={0,6}.**