Hello!
The discriminant of a quadratic function is found by using this formula:
D = b² - 4ac
Once you substitute the values into the formula, there are three ways your answer can be interpreted.
1. If the discriminant is positive, then there are two rational solutions.
2. If the discriminant is negative, then there are no rational solutions.
3. If the discriminant is equal to zero, then there is only one rational solution.
Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.
14² - 4(2)(11)
196 - 88 = 108
Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.