Complete the Square - Find Radius and Center of Sphere

[@yadpreetcheema4806]

Patrick, you are the reason I made it through first year engineering and I just wanted you to know that : )

[@darkmole100]

As soon as I saw it as a homework assigned from my teacher, I freaked out. I came to your videos and understood in 3:48 minutes. You explain better than my teacher! THANKS !!!!

[@Zeb23]

Your videos are amazing and incredibly helpful. Please keep up the amazing work. You're helping me through Calc II and understand the material better than the professor ever could.

[@actiondon4522]

i know it doesnt matter but you might want to clear up what you did with (-4/2) just in case it throws anyone off. Great example none the less!

[@nathanaelvetters2684]

Great job! Not so slow it's boring, but elaborates and leaves no confusion whatsoever.

[@patrickjmt]

i try to find that 'sweet spot' - it is hard to do!

[@shayeedie]

after every video I'm like "Why didn't my lecturer just SAY SO." Lol, keep up the great work thank you

[@MI-zt6rz]

Great video bro, keep up the good work, not yet a varsity student but I explicitly understand the concept. Thanks

[@skywalker9441]

Thanks from New Zealand... stay safe everybody

[@professionalbiologist7108]

Holy Schmitt this guy is GOOD at Teaching.

[@knights328]

Thanks man you teach better than most professors.

[@Realist.quotes]

who would dislike this?

[@Flyingwithdale]

Trolls

[@Javlini]

The professors. LOL

[@jasonkrasavage1789]

because he's a lefty to be honest, it makes watching this video much more distracting lmao. He's always covering what he's writing with his hand

[@salom77]

haha

[@surbhisharma6429]

Really awesome way of teaching ..... Really understandable .. 😊👍

[@malikgulraiz3659]

Thanks. Learned something new from you

[@JehovaArmy7144]

Was freaking out before this video, thanks for explaining things so well.

[@EllieBear7791]

This was very helpful. Thank you.

[@Deadlyaztec27]

Please add this under your Calculus, semester 3 playlist

[@annythien]

thank you so much! this helped me a lot.

[@albireo13]

Once again brought back to PatrickJMT. How could I pass Calc without you? (Just barely :P)

[@Imhim1200]

nice simple explanation!

[@ashleychavez5339]

Thank you!! You freaking rock!

[@S-CoastRecords]

thank you you are a lifesaver

[@salom77]

It will be very nice that you show our professors how to teach math.

[@naders.]

You are a HERO!!

[@jasonlee4347]

thanksssss this helped me and my frens so much.. thanks from Asia (Malaysia) :)))

[@selamj.6988]

Really helpful to review how to do this!

[@debruyn632]

Well spoken tutor!

[@literallyanythingelseother]

Awesome video. Extremely helpful!

[@hunter251125]

This was better instruction than my professor

[@anilbamb9028]

Great video my concept is clear now thankyou

[@sheharyarahmad7078]

Extremely helpful video

[@Atlewis0007]

great video. simple explanation.

[@jwahir6056]

Thanks it helps me a lot

[@paolaanaya4661]

great video, thank you!

[@115liamsi]

Great job dude !

[@samu.k5293]

Thank you

[@abdellatifhussine8973]

by the way in the right side shouldn't you subtract to the right side?

[@Justinian169]

so (1/2) of -4 = +2... I think you should mention it's the absolute value because that would = -2

[@zcypret]

+Justin McNell (1/2) of -4 = -2. HOWEVER, you also need to square the result: (-2) * (-2) = +4

[@jackop9111]

Really helpful, thank you so much !

[@sunifabegum3793]

thank you sir

[@brandonmbanks]

Thank you very much!

[@ffdf4184]

Ty!

[@Chrisymcmb]

Thanks G!

[@Noper812]

Thanks!

[@EmporerNapoleon]

What if the value is odd... dividing by 2 gives you a decimal number and a fraction for your answer. There has got to be a better way.

[@mirzashemin5556]

Thanks man♥️

[@KTMownage]

Awesome, Thanks a lot!! You rock!!!

[@apexmxgaming]

Thanks sir

[@Elephantsworld33]

very helpful! THank you!

[@hellokittydimaggio]

what if you have a problem like this one except the z^2 has no other z component? like if you took out the 12z from this problem so it would be x2+y2+z2=4x-8y+5

[@darkvenom6137]

Thanks so much sir❣️❣️❣️❣️

[@LazyLionStudio]

now what if you have X2 +3X + y2+ 2y+9/4=0 I got center as (-3/2, -1/2) and radius is r= 2.5 the fractions kinda threw me off but is this right?

[@she8334]

THANK U SO MUCH U R THE BEST

[@patrickjmt]

thanks back for the kind words :)

[@laylasaucedo2450]

What if theirs a radical in the equation how do you solve that

[@WesleyRocco]

Thanks for the help.......

[@doaard9174]

relly thank you

[@janetkabanyana4567]

helpful thanks

[@ainaibrahim9963]

Thankyouuuuuu😭

[@0HUSSAIN]

that was really good thank you so much ;)

[@user-yx6mq2km3m]

Perfect

[@keithypatootie]

What if x^2 has a numerical coefficient?

[@alexva1]

can you help me find conditions on A, B, C such that the equation represents a sphere x^2 + y^2 + z^2 + Ax + By + Cz +D = 0

[@patrickmoloney672]

The ad that is making patrick $$$ is saying that his videos from 2006 aren't working and that we should join study pug. Oh the irony.

[@hamzajameel2280]

Sir my problem solve this method

[@kanivakil198]

@ 1:32 How is 0.5(-4) = 2? The negative sign still remains.

[@isalite]

Wouldn’t matter anyways bc later the “-2” would get squared and become positive. I think that’s why he just forgot about it

[@Inkieto92]

what if I have (x+A)^2+(y+B)^2+(z+C)^2= - 41 ?? I know that the center will be (A,B,C) but what about -41? I cant take the sqrt of a negative number??

[@alexanderwickstrom4531]

You're right, an imaginary number wouldn't make a good value for a radius. At the same time, a negative number wouldn't either, so you shouldn't have the right side of the equation = -41.

[@trucktam7173]

thanks...

[@pratiksapkota5083]

one half of a negative 4 should be negative 2, shouldnt it?

[@hamsterhaunter5718]

Yes but it doesn't matter at the end because -2^2 = 4 since (-2) * (-2) = 4

[@BMWTM2020]

Thank you Thank you Thank you Thank you Thank you Thank you Thank you Thank you soooooo much god bless you :)

[@kenikozo]

I fucking love you

[@ganugulavineeth7851]

How to solve this equation 2+2v-2w+d=0 5-2u+4v+d 14+2u+4v+6w+d d=0

[@Elethuvessa]

Multiply the whole lot by 2 I guess

[@aashishpattnaik568]

You are a left handed ohhhh wowww

[@MrBorderlands123]

-4/2 is -2 other than that this is based.

[@wangchul]

1/14/2017

[@Dondo8me]

A little more time to explain your rationale would go a long way

[@carlosshalino1730]

Thanks!