Solve the factored quadratic equation (19x - 3) (9 + x) = 0.
(1 point)
• The solution set is x = 1
-9，3/19｝.
• The solution set is x = { 19/3, 9}
• The solution set is x = {—9, 3}
● The solution set is a ={-9, 19/3}
The correct solution set is x = {-9, 3/19}.
To solve the factored quadratic equation (19x - 3)(9 + x) = 0, we set each factor equal to zero and solve for x.
Setting 19x - 3 = 0:
19x = 3
x = 3/19
Setting 9 + x = 0:
x = -9
Therefore, the solution set is x = {-9, 3/19}. So, the correct option is:
• The solution set is x = {-9, 3/19}.
To solve the factored quadratic equation (19x - 3)(9 + x) = 0, we need to find the values of x that make the equation true.
In this case, we have a product of two factors equal to zero. According to the Zero Product Property, for the product of two factors to be zero, at least one of the factors must be zero.
So, we set each factor equal to zero and solve for x:
19x - 3 = 0
x = 3/19
9 + x = 0
x = -9
Therefore, the solutions to the factored quadratic equation are x = 3/19 and x = -9.
So, the correct answer is: The solution set is x = {-9, 3/19}.