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

Responses

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 neagtive 0 comma negative 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}.

1 answer

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 \( x = {0, 6} \).