Quadratic formula but (a, b, c) goes to (0, 0, 0)

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#blackpenredpen #math #calculus #apcalculus

[Ninja]

At this point he is the quadratic formula’s worst enemy.

[dhdkro]

Interesting to see so many variations on quadratic formulas problem😮

[raycotter]

Dear blackpen redpen, I found your calculus videos 6 years ago and they inspired a deep fascination in mathematics. Since then I have gone on and completed a bachelors degree in mathematics and next week I start my Masters of Research. There’s a part of me that wants thank you for putting out great entertaining math videos and inspiring the net generation of mathematicians.

[YassinePAN]

You already find that limit 0+ is (-1+√3)/2 if you replace |t| with -t you find (-1-√3)/2 limit 0+ is different than 0-.so it's undefined

[TheTomKrovi]

faster way: let k in \doubleR set a=t b=-2kt c=tk^2, notice the sqrt cancels out so it works for the plus and the minus, the t cancels out and you get k inside the limit. that means you can get to every value you'd like under these type of linear approaches, so of course the limit does not exist, but now you can understand its beautiful graph better. if you want to look at it yourself, set x=b/a y=c/a, now you can plot it in desmos and see it for yourself :)

[johnny-wmuo]

A funny exercise would be:
For any x in R, find integer sequences an, bn and cn such that the limit as n goes to infinity approaches x.

[SwordQuake]

The quadratic formula abuse continues...

[pillowvoid]

Shree Sridhracharya must be smoking in Mathematicians' Heaven

[yfgiuyiyikiyiououu]

When a=b=c=0, we will have an infinity of solutions for ax^2+bx+c, so the quadratic formula don't have an exact value in this case, so DNE

[khalilbsfic]

Pls make a video on
tanx/x>1 when 0<x<π/2

[woody]

The zeroes of the constant zero function should be everywhere, now let’s see the video :)

[TOGAX]

Can you do sin(cos(x)) = cos(sin(x)) in the next video?

[Jordan-zkwd]

Me: What's your approach to solving quadratics?

BPRP: Tantric, I could go for hours 😩

[vladimirilyushko]

Can you get all solutions for a in terms of n in a=n*sqrt(n+sqrt(a))?

[IVANN..]

It is trivial. Because when (a, b, c) =(0, 0, 0), clearly 0x² + 0x + 0 = 0 has no unique solution. Limit DNE.

[stringtheory]

Someone's really obsessed with quadratic formula!!

[Qermaq]

Whatever a b and c you use, as you tend them to 0 evenly it's the same as dividing both sides of the equation by the same amount. So x1 and x2 remain the same all the way to 0 where they're undefined.

[odvqomd]

Is there any proof for wavy curve method? Please make a video on it.

[shahinaakhter]

This man is gonna rest after breaking the Quadratic formula

[ignacypankracy]

now we DEFINETLY need a limit of the cubic formula