Evaluate the discriminant for the following equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. 5 x squared plus 11 x plus 6 equals 0

The Solutions are distinct and rational

Step-by-step explanation:

Given the general form of a quadratic equation: ax²+bx+c=0

The discriminant D=b²-4ac is used to determine the nature of the roots of the quadratic equation.

There are three cases:

1. If b² - 4ac > 0

The quadratic equation has two real, distinct (different) roots.

2.If b² - 4ac < 0

The quadratic equation has no real roots. i.e. It has complex roots

3. If b² - 4ac = 0

The quadratic equation has two real, identical roots.

Given our equation:

5x²+11x+6=0

a=5, b=11, c=6

The discriminant:

D=b²-4ac=11²-4(5)(6)=1

Since D=1>0, the roots of the equation are real and distinct.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

just took the test and my answers down below!

step-by-step explanation:

check the pic :