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.

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step-by-step explanation: