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

Answer 1

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

1. First factor: \( -13x = 0 \)

   • This gives us \( x = 0 \).

2. Second factor: \( x - 6 = 0 \)

   • This gives us \( x = 6 \).

Now, we can compile the solution set. The solutions are \( x = 0 \) and \( x = 6 \).

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

So, the correct response is:

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