use the discriminant to determine the number and type of solutions for the following equation. 2x2 + 14x + 11 = 0 a) there are zero rational solutions b) there is one rational solution c) there are two rational solutions d) there are two irrational solutions

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.

its two irrational solutions!

Step-by-step explanation:

I just took the test and this  was the correct answer.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the answer is d. (1.2, -4.7) on edgn

hope this !