Solve the factored quadratic equation (19x−3)(9+x)=0 .(1 point) Responses The solution set is x={193,9} . The solution set is x equals left brace Start Fraction 19 over 3 End Fraction comma 9 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={−9,193} . 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={−9,3} .
The solution set is x = {−9, 3}.
The solution set is x={−9,3}.
To solve the factored quadratic equation (19x−3)(9+x)=0, we can set each factor equal to zero and solve for x separately.
First, set 19x−3=0:
19x−3=0
Add 3 to both sides:
19x=3
Divide both sides by 19:
x=3/19 or x equals the fraction 3 over 19
Next, set 9+x=0:
9+x=0
Subtract 9 from both sides:
x=-9
The solution set for the equation is x equals left brace negative 9 comma Start Fraction 3 over 19 End Fraction right brace, so the correct answer is:
The solution set is x={−9, Start Fraction 3 over 19}.