4) – 2x2 + 6x + 5 = 0 a. nonreal
b. real, irrational, and unequal
c. real, rational, and equal
d. real, rational, and unequal

b. real, irrational, and unequal

Step-by-step explanation:

Roots of a quadratic equation

The standard representation of a quadratic equation is:

where a,b, and c are constants.

Solving with the quadratic formula:

The argument of the radical is called the discriminant:

The nature of the solutions of the equation depends on the value of d as follows:

We are given the equation:

Here: a=-2, b=6, c=5. The discriminant is:

d = 116

Since d is positive and a non-perfect square, the roots are:

b. real, irrational, and unequal

d

step-by-step explanation:

-232

step-by-step explanation: