Answer:
-6 and -1
Explanation:
The excluded values are the values of x that satisfy
![2x^(2) + 14x + 12 = 0](https://img.qammunity.org/2022/formulas/mathematics/high-school/ofshukr7qads2g4wto2z5as4e7qllsygit.png)
Let us solve the equation
![2x^(2) + 14x + 12 = 0](https://img.qammunity.org/2022/formulas/mathematics/high-school/ofshukr7qads2g4wto2z5as4e7qllsygit.png)
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ
![= 14^(2) - 4 .2.12 = 100](https://img.qammunity.org/2022/formulas/mathematics/high-school/7y5oy2xdfxf3xdylczng2jsyee7lx9mqra.png)
the discriminant is greater than 0, so the equation has two solutions
or
the excluded values are -6 and -1