Question

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

{−9,19/3}
start set negative 9 comma 19 thirds end set

{−9, 3}
{−9, 3}

{−9,3/19}
start set negative 9 comma 3 over 19 end set

{19/3,9}

Answer 1

To solve the factored quadratic equation \((19x - 3)(9 + x) = 0\), we can set each factor to zero and solve for \(x\).

1. Setting the first factor to zero:
\[
19x - 3 = 0
\]
Solving for \(x\):
\[
19x = 3 \\
x = \frac{3}{19}
\]

2. Setting the second factor to zero:
\[
9 + x = 0
\]
Solving for \(x\):
\[
x = -9
\]

The solutions to the equation are:
\[
\{-9, \frac{3}{19}\}
\]

So, the correct answer is:
\(\{ -9, \frac{3}{19} \}\).