Solving a quadratic equation by completing the square

👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. If the coefficient of the quadratic term is not 1, we factor out the coefficient before creating the perfect square trinomial.

The perfect square trinomial is created by adding to both sides of the equation, the square of half the coefficient of the linear term (the term whose variable is not squared). Note that you must account for the factored out value when adding the square of half the linear term to the other side of the equation. Then the perfect square trinomial is evaluated and then we solve for the variable to get the solution(s) to the quadratic equation.

Organized Videos:
✅How to Solve a Quadratic by Completing the Square
✅Solve a Quadratic by Completing the Square | Fractions
✅Solve a Quadratic by Completing the Square | -x^2+bx+c
✅Solve a Quadratic by Completing the Square | 2x^2+bx+c
✅Solve a Quadratic by Completing the Square | ax^2+bx+c
✅Solve a Quadratic by Completing the Square | x^2+bx+c
✅Solve a Quadratic by Completing the Square | Learn About

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#Solvequadratics #completethesquare #brianmclogan

[ltjedi]

for God's sake NICK, move to the other seat!

[lassef]

Nick dosen't realize how lucky he is to have this teacher. God damn Nick pay attention 😂😊

[sararose]

I love this video. He looks so done sometimes loll but also very helpful

[tanishgupta]

I have never seen such a dedicated teacher.Thanks Brian.I wish you could be my high school teacher

[TheFarmanimalfriend]

A good example of making a simple problem complex. I did this in 3 steps. Less complexity reduces the chances of silly mistakes.

[daniellin]

this video and many practices will get me through my midterm.

[jonroth]

It's a year later, Nick. I hope you've moved on as you clearly were irritating your teacher. As for the teacher, I enjoy your videos, but you probably need a drink.

[BobBob-uvfq]

The student identified the problem with maths, it’s actually all logical and can be simple, but with so many different factors of so many different types of problem it can become a real muddle

[HA-bpof]

This really helped me. Great explanation, thanks so much

[lisaquev]

you, , , , lifesaver. come to my school asap

[philipkostadinov]

Cant understand from 3(x2+2x+1)-5 to 3(x+1)(x+1)-5, where did the 2x (b) from the first equation go ?

[ida_ark]

I am gonna buy your merch, cause 20-1 is hard and you making it super easy
Thanks Mr. Mclogan

[bigdog]

wait isn't the end an irrational denominator, and also you can reduce that square root of 8 to square root of 2*4. So the answer would actually be -1 plus or minus 2 times the square root of 6 divided by 3? (square root of 8 can be reduced down to square root of 4*2, which then becomes 2 times the square root of 2 with the square root of 3 in the denominator. You can't have a square root in the denominator so it then becomes 2 times the square root of 2*3, which is 2 times the square root of 6 and the denominator then becomes 3.)

[mixpick]

Seems like he's trying teach a bunch of kindergartners... I feel bad for the teacher. Maybe pass out some crayons for them to eat next class??

[HJ-yjxj]

Who do you teach as in what grade or do you teach at university ?

[noobsluckyday]

can you move C over at the start of the equation? will it end up changing anything?. also how is re writing standered form into vertex form different? you need to keep the Y and everything on that side?

[lisaquev]

lol i need to apply to the school you work at

[astheshyaasth]

Got lost on the a, b, n c part. Bt thanx

[aliyabikrum]

thanks so much. from south Africa grade 11, hopefully this is grade 11 lol

[feero]

Please help me solve this eqn by completing the square
-4x^2 -2x +5 =0