DeMotivators

[sergechronos]

Personally, I loved numbers 3, 5, 11 and 19 on the list with number 5 being my favorite.

Sad thing is, this is a bad example....because unless I'm mistaken, the answer comes out the same as if the math were done correctly. But I could be wrong. It's been 15+ years since I took algebra.

Been a few months since I've done any math, but lemme see if I can bust out some algebra for you. (open to corrections by other people if I'm wrong.)

X^2 +2x + 1 can be broken down into (x+1)(x+1)

X^2 +3 cannot be broken down. If you use the quadratic formula (-b plus/minus the square root of b^2 - 4ac all over 2a) you end up with (-0 +/- sqrt (0^2 - 4(1)(3))) / 2(1) Or in otherwords the square root of -12 all over 2. You can't have a negative square root. Best you could do would be to break it down into imaginary numbers (2i * sqrt3)/2 which would give i*sqrt3.
You can't just multiply it times its roots because there's no way to split that into 2 parts without introducing a 3rd. Example of improper application for sqrt of x^2 + 3 would give (x+sqrt3)*(x+sqrt3) except that when multiplied back out, you'd end up with x^2 + (2x*sqrt3) + 3. You can't split the x^2 +3 into a (x+sqrt3)(x-sqrt3) because you'd end up with x^2 - 3.
You can't solve for x^2 +3 = 0 without breaking the rules. You end up with X^2 = -3 and a squared factor cannot possibly equal a negative (any x^2 will be positive no matter the value of x with the exception of 0.)

In short: x^2 +2x+1 / x^2 + 3 is as compact as you can get it.

[CoopKill]

Personally, I loved numbers 3, 5, 11 and 19 on the list with number 5 being my favorite.



Been a few months since I've done any math, but lemme see if I can bust out some algebra for you. (open to corrections by other people if I'm wrong.)

X^2 +2x + 1 can be broken down into (x+1)(x+1)

X^2 +3 cannot be broken down. If you use the quadratic formula (-b plus/minus the square root of b^2 - 4ac all over 2a) you end up with (-0 +/- sqrt (0^2 - 4(1)(3))) / 2(1) Or in otherwords the square root of -12 all over 2. You can't have a negative square root. Best you could do would be to break it down into imaginary numbers (2i * sqrt3)/2 which would give i*sqrt3.
You can't just multiply it times its roots because there's no way to split that into 2 parts without introducing a 3rd. Example of improper application for sqrt of x^2 + 3 would give (x+sqrt3)*(x+sqrt3) except that when multiplied back out, you'd end up with x^2 + (2x*sqrt3) + 3. You can't split the x^2 +3 into a (x+sqrt3)(x-sqrt3) because you'd end up with x^2 - 3.
You can't solve for x^2 +3 = 0 without breaking the rules. You end up with X^2 = -3 and a squared factor cannot possibly equal a negative (any x^2 will be positive no matter the value of x with the exception of 0.)

In short: x^2 +2x+1 / x^2 + 3 is as compact as you can get it.

[IPD]

Personally, I loved numbers 3, 5, 11 and 19 on the list with number 5 being my favorite.



Been a few months since I've done any math, but lemme see if I can bust out some algebra for you. (open to corrections by other people if I'm wrong.)

X^2 +2x + 1 can be broken down into (x+1)(x+1)

X^2 +3 cannot be broken down. If you use the quadratic formula (-b plus/minus the square root of b^2 - 4ac all over 2a) you end up with (-0 +/- sqrt (0^2 - 4(1)(3))) / 2(1) Or in otherwords the square root of -12 all over 2. You can't have a negative square root. Best you could do would be to break it down into imaginary numbers (2i * sqrt3)/2 which would give i*sqrt3.
You can't just multiply it times its roots because there's no way to split that into 2 parts without introducing a 3rd. Example of improper application for sqrt of x^2 + 3 would give (x+sqrt3)*(x+sqrt3) except that when multiplied back out, you'd end up with x^2 + (2x*sqrt3) + 3. You can't split the x^2 +3 into a (x+sqrt3)(x-sqrt3) because you'd end up with x^2 - 3.
You can't solve for x^2 +3 = 0 without breaking the rules. You end up with X^2 = -3 and a squared factor cannot possibly equal a negative (any x^2 will be positive no matter the value of x with the exception of 0.)

In short: x^2 +2x+1 / x^2 + 3 is as compact as you can get it.

Maybe I'm retarded then. I multiplied both sides by (x^2 + 3). I thought I got x=1, but let me see, maybe I forgot an X.

x= equation
so x(x^2 + 3) = (x^2 + 2x +1)
x^3 + 3x = x^2 +2x +1
x^3 + x = x^2 + 1
x^3 - x^2 + x = 1
x^2 - x + 1 = 1/x
x^2 - x = 1/x - 1
x^2 = x + 1/x - 1
x^2 + 1 = x + 1/x

at this point, I literally have the same thing on both sides of the equation, and my brain frickin hurts. And it's taken me way longer to get this far than it should. I'm rather embarrassed about that. I can't figure out how to simplify it further (I think I goofed last time), but it still looks like X = 1, because there are no other numbers for which this will compute.

[sergechronos]

f(x) is a whole statement that stands for y when graphed, but it isn't function times (x), that is to say: f(x) = y, not f(x)=y(x). So you don't get x(x^2+3).

If you tried to graph it (plug it into a graphing calculator) you'll see that the equation only touches the X axis at -1. The best you could say would be that 1 root of (x^2 +2x+1)/(x^2+3) is equal to -1, and that the limit of the equation is x=1.

You get the root from the factoring (roots of the top are both -1) and when plugged into the equation you get 1-2+1/1+3...Or to put it better: 0/4. 0 in the numerator means that the whole thing equals zero, and thus is a root the equation as a whole.

Algebra is one of those things that if you don't use it frequently you forget how it works.


Addendum:

Maybe I'm retarded then.

[IPD]

Ok. So My math wasn't incorrect, just the premise of what I was trying to solve for. Got it.

Unfortunately, I never found a high-paying job that taxes the area of my brain that algebra did/does...so I certainly feel like it's atrophied.

[NickS VR4]

The image before playing seems to be slightly NSFW.

 

[IPD]

still better than /b/

[onebadmollafolla]

If you go on reddit, You'll definitely want to sort what subs you want blocked and which ones you want to subscribe to or else you're gonna have a shitty experience.

[RealMcCoy]

Oh how things change....

[IPD]

Oh how things change....

holy shit! let's pour antifreeze in a birdbath while we're at it!

I mean, I guess that makes sense. Motor heads in the 60's were anything but environmentally conscious. Muscle cars....13MPG. Yeesh!