Here's another scene from that age-regression story, starring Zed and Zena, that I'm going to get round to writing very soon! Magically reverted to two years old, wearing some of Zee-Zee's spare clothes and all ready for a day of toddler fun, they just have to master how to talk...
"Don't be silly!" Zena commanded, with the natural authority of a girl who grew up taking care of her little brother.
"Sorry, Zena," Zed meekly replied like a boy who's grown up being ordered around by his two older sisters.
Zee-Zee watched this exchange with some surprise. He hadn't batted an eyelid at the whole idea of his parents temporarily becoming his new brother and sister, but there was something about their interaction that was a bit off from the way they talked to each other as adults.
Raikan picked up on Zee-Zee's confusion and patted his head with a grin. "They're still the mommy and daddy you know and love, Zee," he explained, "there's no mental regression here. It's just that now they're little again, they find themselves instinctively acting the way they did when they were younger. Now, who's ready for a fun day out?"
PS Zed will give a prize to the first person to solve his equation - but you have to do it in your head and then explain your workings! You don't pass Professor Squirrel's course by typing things into your computer! ^.^
"Don't be silly!" Zena commanded, with the natural authority of a girl who grew up taking care of her little brother.
"Sorry, Zena," Zed meekly replied like a boy who's grown up being ordered around by his two older sisters.
Zee-Zee watched this exchange with some surprise. He hadn't batted an eyelid at the whole idea of his parents temporarily becoming his new brother and sister, but there was something about their interaction that was a bit off from the way they talked to each other as adults.
Raikan picked up on Zee-Zee's confusion and patted his head with a grin. "They're still the mommy and daddy you know and love, Zee," he explained, "there's no mental regression here. It's just that now they're little again, they find themselves instinctively acting the way they did when they were younger. Now, who's ready for a fun day out?"
PS Zed will give a prize to the first person to solve his equation - but you have to do it in your head and then explain your workings! You don't pass Professor Squirrel's course by typing things into your computer! ^.^
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First a quick simplify:
4X^2-124X+232=0
x^2-31X+58=0
Now let's haul out the old QE:
31 (+/-) sqrt (31*31-4*58)
2
31*31=961
4*58= 232
961-232 = 729
sqrt (729) = 27
so (31+/-27) / 2 = 4/2 or 58/2 = 2 or 29
...and I bet both answers are correct, right? Just like for me a similar equation would go 7x^2 - 329x + 1722 = 0
Math + AR = Win
4X^2-124X+232=0
x^2-31X+58=0
Now let's haul out the old QE:
31 (+/-) sqrt (31*31-4*58)
2
31*31=961
4*58= 232
961-232 = 729
sqrt (729) = 27
so (31+/-27) / 2 = 4/2 or 58/2 = 2 or 29
...and I bet both answers are correct, right? Just like for me a similar equation would go 7x^2 - 329x + 1722 = 0
Math + AR = Win
*giggle* That's right - for Zed, not for real me, he's six years younger than I am now. It's his ultra-nerdy sense of humour playing up again. ^.^
But I was looking for a clever way to do it in your head without using the quadratic equation formula or needing to work out square roots, same way I got 6 and 41 from yours without needing a calculator or pen and paper... ^.^
(Sorry, I'm really in maths teacher mode today, I think I'm channeling Zed)
But I was looking for a clever way to do it in your head without using the quadratic equation formula or needing to work out square roots, same way I got 6 and 41 from yours without needing a calculator or pen and paper... ^.^
(Sorry, I'm really in maths teacher mode today, I think I'm channeling Zed)
I tried to do the quadratic formula just using a calculator and lost track of some of the numbers, so when I worked it out with a notepad and calculator I divided by 4 first to make a=1 so I wouldn't have to worry about it so much. x = 29 or x = 2. Very clever way to say your proper age and current apparent age while regressed!! >:3
For me it might end up something like x^3 - 319x^2 + 11479x - 89001.
***SPOILER***
The roots of that one are 11, 29, and 279. ;)
For me it might end up something like x^3 - 319x^2 + 11479x - 89001.
***SPOILER***
The roots of that one are 11, 29, and 279. ;)
*huggles* Yeah but even I don't know how to solve a general cubic. I know really, REALLY long formulas exist for solving general cubic and quartic equations, but I read a poster in a college math department hallway that said someone had proven you actually can't solve the general quintic, and listed all sorts of esoteric ways to solve certain cases of it that made my head spin at the time, and probably still would given that I gave up a math major to go into electrical engineering instead.
Well, from the starting point that you would probably have picked three whole numbers and done (x-a)(x-b)(x-c), you can work it out by trial and error. After sitting down and working out what kind of equation that would give (I'm sure Zed would know already, but I'm not a professor), you can see you need three numbers that add up to 319 and multiply to 89001. The prime factors of 89001 are 3, 3, 11, 29 and 31, so that gives you very few plausible combinations to try - this puzzle is actually easier than it looks! ^.^
Wows Zed sure is a smart one. They both look adorable like this. And Yeah I'm not even gonna try for this. Hehehe. I might be able to get it after w little while but these here were some of the math problems I absolutely hated. Well maybe not this kind but the problems like this with multiple unknowns. Cuz what kept going on in the back of my head was "Ok in real life if I'm working on something presented with this many unknowns than somebody didn't do their job!" XD I'll just leave this to the super clever math squirrel.
I did it in my head before I read people's answers, because I wanted to know how it would work out! I divided 4 off everything, then just thought about two factors of the constant term that would add up to the coefficient of the linear term. It's not complicated enough to require the quadratic equation. Then I thought about those two roots and saw what you did with the two ages. That's awesome! You are super clever Zee-Zee!
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