Question

Calculate the discriminant: 4x² + 3x − 2 = 0 Enter your answer in the box.

Answer 1

Answer:

D=41

Step-by-step explanation:

4x² + 3x − 2 = 0

To find the discriminant we need to use formula

D = b² - 4 ac

Quadratic equation in general form:

ax² + bx + c = 0

4x² + 3x − 2 = 0

We can see that

a = 4, b = 3 , c = -2

So, D = 3² - 4*4*(-2) = 9 +32 = 41

D = 41 is positive , so given equation has 2 real solutions.

If D = 0 , there is  1 real solution.

If D< 0 , then there is no real solutions.