# Solving quadratic equations

Solving quadratic equations is quite an important skill in mathematics. Many situations in life can be modeled with quadratic equations

The goal of this unit is to show you some of the most important technique used to factor quadratic equations. See them below:

Important note:

Before starting this unit, it is very important to study, review, or know what factoring is

Technique #1:

Solving quadratic equations by factoring
This technique shows you how to solve equations of the form ax2 + bx + c = 0, when a = 1 or more

When a = 1, it is quite straightforward!

When a is equal to 1, it is somewhat tedious. You will need to do trial and error

Technique #2:

Solve by completing the square
This technique shows you how to complete the square to solve quadratic equations

Pay close attention to all steps and learn it well!

The very Proof of the quadratic formula is entirely based on this technique

Make sure you understand it, or you may struggle a lot to understand the proof of the quadratic formula

Technique #3:

Solve using the quadratic formula
Technique #1 has limitations when solving quadratic equations. When answers are not integers, but real numbers, it is very hard or nearly impossible to find the solutions.

With this formula, you can solve any quadratic equations and it does not matter how complex the equation is or how weird the answer will be.

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