Don't troll me, I know I suck at math. ATTEMPT NUMBER 6: \(\huge\color{blue}{\huge {\bbox[5pt,cyan,border:2px solid purple]{f(x)=x^3+x+1}}}\)
\(\huge\color{blue}{\huge {\bbox[5pt,cyan,border:2px solid purple]{PLEASE~~~~EXPLAIN}}}\) \(\huge\color{blue}{\huge {\bbox[5pt,cyan,border:2px solid purple]{How~~do~~I~~find~~the~~roots?}}}\)
kk
sorry I suck at math also
Sorry, that's too advanced for me and I suck at math too.
no idea
You find roots by setting it equal to zero. This is tricky to factor, since it is x^3. It actually doesn't factor. But if you graph it and find the x-intercept (the zero/root), you will find x=-.68233
So I can only approximately find the roots, I can never actually find the roots for sure, like an exact value (sqrt5 -4i or integer or something like that)? It will depend on how accurately will I graph it?
can u use approximation ??
there is no intrger sol for sure but u can a proximate..
approximation? I was never good at mathematical terms, what do you mean, perhaps I might know. Also, is there an exact answer to the problem?
May it be -5i or sqrt4+3i or anything, but exact value.
it might have an exact sol but not integer
yeb it could be complex or irrational
Whatever the exact value is, how do you find it?
ok do u know kardano method ??
No, but I think ganeshie8 showed to me, I don't remember the formula, and I've never done it. It would be pretty difficult to teach me, being that I know nearly nothing.
its for x^3=px+q \[x=\sqrt[3]{\frac{ q }{ 2 }+\sqrt{\frac{ q^2 }{ 4 }-\frac{ p^3 }{ 27 }}}+x=\sqrt[3]{\frac{ q }{ 2 }-\sqrt{\frac{ q^2 }{ 4 }-\frac{ p^3 }{ 27 }}}\]
ok gust apply the formula and ul get a sol :)
oh i type it rongly sry ..
i need time to calculate it....
rongly?
\[x=\sqrt[3]{\frac{ q }{ 2 }+\sqrt{\frac{ q^2 }{ 4 }-\frac{ p^3 }{ 27 }}}+\sqrt[3]{\frac{ q }{ 2 }-\sqrt{\frac{ q^2 }{ 4 }-\frac{ p^3 }{ 27 }}}\]
oh, w/o x=
take ur time its oly calculating =)
p=-1 q=-1
What? I though it's +1 and +1
x^3=px+q ur equation is x^3+x+1 so x^3=-x-1 q=-1 p=-1
I'll be back, 2 minutes...
A plot and solution using Mathematica 8 Home Edition is attached.
Sorry, there are two mis-spellings in solomonzelman.pdf
Lol u say u suck at math when i think ur like a math teacher...
SO to find a root of this function all you're trying to do is find where the graph hits zero
How does one write in such cool latex O_O
thank you, my latex aren't cool..... anyway, http://openstudy.com/study#/updates/51fbcbade4b0cc46c14a461d
I just combined them.
\(\huge\color{magenta}{\huge {\bbox[5pt,yellow ,border:2px solid blue ]{~•~~‿~•~}}}\)
http://www.wolframalpha.com/input/?i=x%5E3%2Bx%2B1%3D0 you can click exact forms. They are very ugly.
it's +31, not just 1.
I see, but how does he get it?
What does shamil 98 mean by writing in cool latex?
Idk, he thought my latex were cool perhaps, but they're not.
"it's +31, not just 1." no it isn't, in your first post.
\(\Huge{\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{cyan}{\bigstar}\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{cyan}{\bigstar}\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}}\\\color{white}{.}\\\Huge\sf\color{magenta }{~~f(x)=x^3+x+31~\\}\\\color{white}{.}\\\\\Huge{\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{cyan}{\bigstar}\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{cyan}{\bigstar}\color{purple}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}}\)
I re-inputted (if that makes sense) and I see the answer, but I need to know how to do it.
I am going to play basketball right now, thank for trying to help everyone! It's waiting for me!!!!!!!!!!!!!! \(\Huge{\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{orange}{\bigstar}\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{orange}{\bigstar}\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}}\\\color{white}{.}\\\Huge\sf\color{blue}{~~~~Have~~~a~~~good~~~night!~\\}\\\color{white}{.}\\\\\Huge{\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{orange}{\bigstar}\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}\color{orange}{\bigstar}\color{red}{\bigstar}\color{blue}{\bigstar}\color{green}{\bigstar}\color{yellow}{\bigstar}}\)
lol follow the steps http://www5a.wolframalpha.com/Calculate/MSP/MSP6131f9eb899264a439e00003fhe00c8f7ceg1ed?MSPStoreType=image/png&s=9&w=500&h=3867
if you look at the steps for exact solution in wolfram it breaks down how to do it it uses a variable transformation then back substitution
normally when no rational zero exists , approximation from calculator suffice or if you know calculus , Newtons method is great for finding irrational zeros
Yeah, I kind of got it.
Join our real-time social learning platform and learn together with your friends!