**Interactive distance formula. Click and drag points to see formula in action


A+    A−    B  
Home
Algebra
Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
  • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
  • Teacher Resources
    On FaceBook!

    Systems of linear & quadratic equations

    How to solve systems of a line & parabola

    Before learning how to solve systems of linear and quadratic equations. You should have a solid grasp of linear equations, parabolas, how to solve quadratic equations, and how to solve sytems of linear equations
    A system of a linear equation and a quadratic equation can have one real solution, two real solutions or no real solutions.
    Quick review: Remember that the solution of a system of linear equations is the point(s) where two lines intersect. Below is a picture of the solution of a linear system.
    The two lines in the graph on the left intersect at the point (1,3) which is the solution to the system.

    The same concept applies to the solution of a system that is made up of a linear equation and a quadratic equation (ie a line and a parabola). The solution is the point(s) where the line meets the parabola. There can be one, two or no real solutions to this kind of system as the picture below illustrate.
    Two Real Solutions
    System with two real solutions

    One Real Solution

    Graph of a system with one solution

    No Real Solutions

    Graph of a system with No real solutions
    Click for a quick review of solving systems of lienar equations by substittion

    See this Demonstration all by itself(opens up new window, makign it easier to see entirity of demonstration )
    See this Demonstration all by itself(opens up new window, makign it easier to see entirity of demonstration )

    Top