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.

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 : $\dfrac{c}{a}$.

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Read More: Linear Equations