Solve the factored quadratic equation (19x−3)(9+x)=0 .(1 point)

Responses

The solution set is x={−9,193}.
The solution set is x equals left brace negative 9 comma Start Fraction 19 over 3 End Fraction right brace .

The solution set is x={−9,319}.
The solution set is x equals left brace negative 9 comma Start Fraction 3 over 19 End Fraction right brace .

The solution set is x={−9,3}.
The solution set is x equals left brace negative 9 comma 3 right brace .

The solution set is x={193,9}.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the factored quadratic equation \((19x−3)(9+x)=0\), we set each factor equal to zero:

  1. Set \(19x - 3 = 0\): \[ 19x = 3 \implies x = \frac{3}{19} \]

  2. Set \(9 + x = 0\): \[ x = -9 \]

Thus, the solution set is \(x = {-9, \frac{3}{19}}\).

The correct response is:
The solution set is \(x = \left{ -9, \frac{3}{19} \right}\).