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?

discriminant of the quadratic equation is -16, The resulting number is less than zero so there are no real number solutions.

Step-by-step explanation:

Given : he quadratic equation −1 = 5x² −2x.

To find : What is the value of the discriminant .

Solution : We have given that −1 = 5x² −2x.

−1 = 5x² −2x.

On adding by 1 both sides

0 =  5x² −2x +1

On switching sides

5x² −2x +1 = 0

Compare it standard form of quadratic equation ax² +bx +c = 0.

Here, a = 5,  b=  -2, c = 1

By Discriminant formula:

D =  

Substituting the values

D =  .

D = 4 - 20

D = -16.

Therefore, discriminant of the quadratic equation is -16, The resulting number is less than zero so there are no real number solutions.