Learn math, science, English SAT & ACT from
highquaility study
videos by expert teachers
Thank you for watching the preview.
To unlock all 5,300 videos, start your free trial.
The Discriminant of a Quadratic Equation  Problem 1
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Using the discriminant to find the number and type of solutions. The discriminant is the part of the quadratic formula that is underneath the square root, which is b² minus 4ac and basically by using this we’ll be able to figure out the number and type of solutions. We won’t know what our solutions are but we’ll know the general look or feel of what they’re going to give us.
All we have to do is take our quadratic equation and plug it into our formula. So b², b is 4, negative 4² is 16 minus 4, a is our first term which is 5 and c is our last term which is 3. So 16, we’re minusing, this is going to be negative so it’s going to turn positive, 4 times 5 is 20, times 3 is 60. 16 plus 60 is 76. So our is positive but it’s not a perfect square which means when we take the square root of it we’re going to be left with a square root which tells us that we are going to have two answers. We have the plus and minus the square root. So we have two answers, we’re going to have the square root so they’re going to be irrational.
By using the discriminant we were able to figure the type and number of our solutions to a quadratic equation.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
Sample Problems (4)
Need help with a problem?
Watch expert teachers solve similar problems.

The Discriminant of a Quadratic Equation
Problem 1 4,392 viewsFind the number and type of solution(s) to
5x² − 4x − 3 = 0 
The Discriminant of a Quadratic Equation
Problem 2 3,291 viewsFind the number and type of solution(s) to
6x² + 10x + 4 = 0 
The Discriminant of a Quadratic Equation
Problem 3 3,697 viewsFind 'k' so that 9x² + kx + 4 = 0 has 1 solution.

The Discriminant of a Quadratic Equation
Problem 4 587 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete