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How many 3-digit numbers appear at the beginning of a 6-digit perfect square? First we notice that the 6-digit perfect square N has to be less than 1,000²=1,000,000, thus N=n² where n≤999. We consider two cases: 1. n≤500. For every two consecutive perfect squares a²,(a+1)² where a≤499, their...

Technically it was one and a half but I digress

Solution to the equation: x+√x(x+1)+√x(x+2)+√(x+1)(x+2)=2 The domain here is x≥0 or x≤-2. Here I'll only deal with the nonnegative case, for reasons I'll mention later. We take note of the factorization ac+ad+bc+bd=(a+b)(c+d) Splitting the square roots and factorizing, we obtain...

TIL The Tokyo Tower and Valentines existed in Japan since the 1950s

Came here after being recommended to this manga in a YouTube comment of a Neuro-Sama x Vedal x Anny stream clip

Hello people swiping through the comments section, if your brain was able to neglect all the minor, unnecessary details and only focus on the flow, or was able to decide that arguing over them is naïve, unlike some of the other people here, your IQ is above average. Congrats! And have a good day.

r/blursedimages

'They booed her because she told them the truth.'

Page 17 Genius, Urara, absolute genius, 10/10 XD Page 19 Oh god, Hibari you absolute madlad XDD Yeah, other people's opinions don't matter to me, this arc is awesome

... Well that was easy

@Alex-dono-sama yeah that's correct, but in strict terms you need an additional condition that x and y are both real numbers before you can separate the real parts from the imaginary parts

Mega Tsundere Energy

Nah it's because they were still in the game

The execution of her introduction was faulty to say the least, but of course she'll turn out fine

Well that guy is notorious for hating on characters who mention the slightest disfavor towards glasses (not the first time I saw him, he was talking crap on Kibe from Kanokari for the exact same reason as well) so I usually just disregard his comments. Chisaki best girl btw but then it's not a...

No human can look like 13 for hundreds of years

I'm glad I wasn't eating, that was pure gold

Romance of the Three Kingdoms

Trivial memories, stuff you do your best at, and stuff you worry about. That's beautiful. And then there's the last page

Would've really hoped for their first meet to be more impactful, but I'm happy nevertheless