Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? a. three real roots, each with a different value b. one real root and to complex roots c. three real roots, two of which are equal in value d. 2 real roots and one complex root?

C) Three real roots, two of which are equal in value is the right answer I believe.

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is