Solve the factored quadratic equation 0=−13x(x−6)

Question

.(1 point)
Responses

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={−6,3}
.
The solution set is x equals left brace neagtive 6 comma 3 right brace .

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={0,−6}
.

Answer 1

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

1. The first factor is \( -13x = 0 \): \[ x = 0 \]

2. The second factor is \( (x - 6) = 0 \): \[ x = 6 \]

Thus, the solutions to the equation are \( x = 0 \) and \( x = 6 \).

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

So, the correct response is: The solution set is \( x = {0, 6} \).