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.

Question

Mathematics

Alivia Barker

20 October, 09:33

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.

+5

Answers (1)

Know the Answer?

Gunner · Answer 1

For the equation:

-1=5 x^2 - 2 x

5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c = 1

to discriminant formula: D = b^2 - 4 a c = (-2) ^2 - 4 * 5 * 1 = 4 - 20 = - 16

Answer:

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