Use the Discriminant to Determine the Number of Solutions
In this video we are going to go use the discriminant to determine the number of solutions of a quadratic equation
• By going over what the discriminant is?
• How to use it?
• Solving an Example
• Then trying the practice questions at the end of this video on your own!
Intro 0:00
What is it? 0:24
How do we use it? 0:58
Example 2:20
Practice Questions 4:45
The discriminant is a formula we can use that tells us more about a quadratic equation including:
1) The number of solutions a quadratic equation has.
2) The “nature” of the roots of the solution (rational, irrational, or imaginary).
Discriminant Formula:
The discriminant formula may look familiar! It is part of the quadratic formula and have seen before, using the very same coefficients a, b, and c.
When we find the value of the discriminant of any quadratic equation, it will give us a value that tells us how many solutions (or roots) a quadratic equation has. Remember when we say “roots” what we really mean are the x-value(s) of the quadratic equation that hit the x-axis. This discriminant value will also tell us if the solutions to the quadratic equation are real, rational, or imaginary. Take a look at how it breaks down below:
Practice Questions: https://mathsux.org/2021/05/12/what-i...
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