math tutoring canada

Quadratic equations

First of all what is a quadratic equation?

A quadratic equation is an 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 equation. One of the main methods is to use the 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 : $\dfrac{c}{a}$.

If you need help to understand the quadratic formula, contact us.

Read More: Linear Equations

Leave a Reply