Algebra 2
posted by TENKAICHI on .
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

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!