Roots of a Quadratic Equation

What do we mean by the roots of a quadratic equation?

Example 1

We say that 2 and 1 are roots of the equation. The equation has 2 real and distinct roots

In graphical form, the roots of the equation are represented as the intersection of the curve with the x axis.


Example 2

In this case there is only 1 solution. We say that the equation has only 2 real and equal roots
Graphically it can be represented as

Notice that there is only 1 intersection point between the curve and the x axis

Example 3
Lastly we are going to look at an example where the curve does not intersect the x axis
Consider the equation:

The equation cannot be factorized. It cannot be solved using the quadratic formula.
Graphically it is represented as


It turns out that we can predict the number of roots that an equation has by looking at the discriminant

Recall the quadratic formula

Comments

  1. Remarkable post. I simply came across your blog and desired to say that I have really enjoyed searching your blog posts. Thank you for sharing such blogs. math tuition

    ReplyDelete
  2. I am glad to discover this post helpful for me, as it contains a great deal of data. I generally want quality content and this thing, I found in your post. Thank you. academic writing services New York

    ReplyDelete

Post a Comment

Popular posts from this blog