Solve the quadratic equation (x+6)(x−4)=0 using the Zero Product Property.(1 point) Responses The solution set is {−6, 4} . The solution set is {−6, 4} . There are no solutions to this equation. There are no solutions to this equation. The solution set is {0, 2} . The solution set is {0, 2} . The solution set is {−4, 6} .
1 answer
To solve the quadratic equation \((x+6)(x−4)=0\) using the Zero Product Property, we set each factor equal to zero:
\(x + 6 = 0\)
Solving for \(x\) gives \(x = -6\).
\(x - 4 = 0\)
Solving for \(x\) gives \(x = 4\).
Thus, the solution set is \({-6, 4}\).
So, the correct response is: The solution set is {-6, 4}.
