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yea thats cool

this is great

V

Can you solve this one ? what is the remainder when 576^273-412^273 is divisible by 86

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i dont get it

this is good for students

that easier to do..

thats nice

Your videos are really informative. thanks a lot

I'm a bit confused here..

this is very helpful indeed..

this is a big help

thats cool

this helps a lot

Somehow I feel like this is cheap. I suppose you can just define a new function every time you don't know the answer? Suppose I define a "Gangsta function" such that G(y) = x when y = x*cos(x). So then for 1 = x*cos(x), x = G(1). This doesn't actually give me any new information, because if I wanted the numerical answer, I'd still have to use some kind of calculator. It looks like for any arbitrary "y", G(y) has infinitely many solutions. Then this makes me feel like much of algebra is a cheap trick, where I can write all manner of values using sin, cos, e, ln, etc, but I have no ability to accurately write down their numerical value in decimal form. I suppose if you're trying to get a numerical answer, all of these functions are useless in the absence of some method for approximating the numerical value. Do calculators use Taylor series to calculate the values of these functions? Then they'd be able to calculate anything using only addition, subtraction, multiplication, and division.

thnxz for making very informative videos

thats informative

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love this

hirap nman nito

thumbs up for this

keep the videos coming

😊

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cool idea

great stuff

well that's easy to understand.

calculus is hard for me

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helpful

thats sounds easy

great video. very detailed..

awesome tip

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perfect explanation

ganyan pla gawin un..

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ganda ng paliwanag.. more power to you sir..

thats nice

ang ganda ng pag kaka explain mo.

ok thats good..

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Thank you for the video. We can complete the squares based on x²-4xy = (x-2y)² - 4y². From there, we get (x-2y)²+(y+1)²=5. There are few cases where the sum of two squared integers is 5, thus all the solutions come from (|y+1|=1 & |x+2y|=2) or (|y+1|=2 & |x+2y|=1).

this is easy to understand

ohh.... okaaayyy.....

very creative.

nde ko alam to ah..

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but this is a diophantine equation and gcd of l.h.s divides 0 so it should have infinite solutions right?