❖ Completing the Square Example 2 Solve Quad. Equations ❖

Completing the Square - Solving Quadratic Equations | Algebra Tips
In this video, we'll dive into completing the square to solve a quadratic equation, specifically when the coefficient of x^2 is not 1. We'll go through a slightly harder example, demonstrating a preliminary factoring step followed by completing the square to solve. The process involves careful arithmetic, and I'll provide step-by-step guidance to ensure accuracy. Perfect for anyone tackling algebra and quadratic equations!

What You Will Learn

How to solve a quadratic equation by completing the square.

Handling cases where the coefficient of x^2 is not equal to 1.

A clear, step-by-step approach to factoring and rearranging terms effectively.

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[patrickjmt]

that is one of my special powers: turning inks into different colors

[simonas]

I wish I had a math teacher like you, who can explain quick, clear and to the point. :)

[rebeccakrack]

Where does the 1/2 come into play and why? Do I use 1/2 when solving every quadratic equation?

[inactivedeactive]

by god i wish if u were my maths teacher!!!! the way u explain is simply awesome!!!
ty so

[patsalwayshere]

also i don't understand when you have 2(x^2-3x+9/4) how do you figure out that equals 2(x-3/2)62??/

[davejams]

Thank you so much, you are seriously a life saver

[PencilTutorials]

Thank you so much for teaching me a different method to solving quadratic equations by completing the square. Honestly, my teacher makes everything so complicated and I could never understand anything...so hopefully I can get through tests and homework this semester!

[patrickjmt]

nerds get 4 months of vacation each year! : )

[patrickjmt]

yep, just divide both sides by 2 to create a new equation that still has the same solutions!

[niksilveira]

The dislikes must be from math teachers with students who'd rather go on youtube than sit through lecture. Thanks Patrick!

[jake]

how did you factor (x^2 -3x+9/4) to (x-3/2)^2 ??? I know that he square 3/2 to 9/4? Can you give me more details about that part .. thanks

[patrickjmt]

@xkuchex old people always complain about the new generations stuff. i will do it one day, and you will too. : )
but i agree, when someone complains about how useless youtube is, i know they are at least 50.

[JessicaFIR]

You teach this very good., I wish teachers would explain it that easy!

[ERIKfernandoRangel]

so all you really have to do is find (b/2) and then make it [x + or - (b/2)]^2 ?

[patrickjmt]

@1too3fore reading your comments are an even more horrible waste of time, imo.

[patrickjmt]

@superrimswj ok, sorry, my webcam is having issues. i will try to get one posted later today or tomorrow. you may also search 'rational exponents' as well

[TheHectopia]

62, 000 kids screwed in their maths test tomorrow, thats why they are watching math videos on youtube

[jamescc]

Great and easy nice demo. I told me daughter to always check youtube when she needs help. She has hard time in Alg 2 and complainted alot about how bad her math teacher is on explaining topics due to his impatience, lack of positive attitude, and inability to make it fun for students to focus.

[ssuperangel]

Can you just write my math exam for me? lol :P

[ahmedshabeeb]

Tommorow is my boards will help me a lot 💗