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

Question

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={0,−6}.
The solution set is x equals left brace neagtive 0 comma negative 6 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={−6,3}.

Answer 1

To solve the equation \( 0 = -13x(x - 6) \), we can start by setting each factor equal to zero.

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

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

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