What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

-the discriminant is equal to −16, which means the equation has no real number solutions.
-the discriminant is equal to −16, which means the equation has two real number solutions.
-the discriminant is equal to 24, which means the equation has no real number solutions.
-the discriminant is equal to 24, which means the equation has two real number solutions.

A. The discriminant is equal to −16, which means the equation has no real number solutions.

Step-by-step explanation:

We have been given a quadratic equation . We are asked to find the discriminant for our given equation.

We know that when an equation is in form , its discriminant would be: .

Let us convert our given equation in standard form.

Switch sides:

Discriminant for our given quadratic equation would be:

Since the value of D is less than 0, therefore, our given equation has no real roots and option A is the correct choice.

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5