Question

Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imaginary.

y=9x^2 - 24x

y=-2x^2 + 3x - 5

y=-4x^2 - 4x - 1

Answer 1

The term b ^ 2 - 4 a c

is called the discriminant and gives important information about the number and nature of the solutions to the quadratic equation to be solved.

Three cases are possible:

If D > 0, the equation has 2 real solutions.

If D = 0, the equation has 1 real solution.

If D < 0, the equation has 2 conjugate imaginary solutions.


In google type:

quadratic equation online

When you see list of results click on:

Free Online Quadratic Equation Solver:Solve by Quadratic Formula

When page be open in rectangle type:

9 x ^ 2 - 24 x = 0

and click option: solve it!

You will see everything about function,including discriminant ,number of soutions and solutions.

Then type:

2 x ^ 2 + 3x - 5 = 0

and click oprtion: solve it!


Then type:

- 4 x ^ 2 - 4x - 1 = 0

and click oprtion: solve it!