Use the quadratic equation x2+3x+5=0 to answer the questions.
a: what is the discriminant of the quadratic equation?
b: based on the discriminant, which statement about the number and type of solutions to the equation is correct?
select one answer choice for part a, and select one answer choice for part b.
a: 11
a: 29
a: −11
a: −29
b: the equation has two complex solutions.
b: the equation has one repeated real solution.
b: the equation has two real solutions.

Step-by-step explanation:

The discriminant is found within the quadratic formula.  It tells us what type of solutions we will expect to have when we solve it.  If we get a positive number, we expect to have 2 real solutions to our quadratic; if we get a 0, we expect to have 1 real solution that is "used" twice; if we get a negative number, we expect to have 2 complex solutions to our quadratic.  In our quadratic,

a = 1, b = 3, c = 5.  So filling in the determinant formula, b² - 4(a)(c):

3² - 4(1)(5)

which gives us -11 (part A of your answer).

Since it is negative, part B is

The equation has two complex solutions

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: