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Quadratic equations

First of all what is a quadratic equation?

A quadratic equation is any equation that you can write it in the form of ax^2+bx+c=0. For example, x^2+x+5=0 . Next, how to solve this equation.

There are some methods to solve this type of quadratic equations. One of the main methods is to use quadratic formula.

QUADRATIC EQUATIONS
Math equations written on a blackboard – mathematics and science concepts

The quadratic formula: \dfrac{-b\pm \sqrt{b^2-4ac}}{2a} gives us the solutions. There are some important points:

  • If b^2-4ac is negative, there is no solution.
  • If b^2-4ac =0, we have only one solution.
  • If b^2-4ac is positive, we have two solutions.
  • The sum of solutions is: \dfrac{-b}{a}
  • The product of solutions is : \dfrac{c}{a}.

Read More: Linear Equations