Do you think I could just leave this part blank and it'd be okay? We're just going to replace the whole thing with a header image anyway, right?
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I'm making an EE bot and I need HELp because I suck at maths. So I need someone who's good at maths.
I have:
y = x * 25 + (x * 25) ^ 2
and I want it inverted:
x = ...
HELp is much appreciated.
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It's a quadratic equation, there are 2 answers for x with every input of y
let z = (x * 25)
y = z + z^2
z^2 + z - y = 0
z = (-1 ± √(1 + 4y))/2
You'll get 2 answers for the z
z1 = (-1 + √(1 + 4y))/2
z2 = (-1 - √(1 + 4y))/2
then for each z find x
x = z/25
Edit: please note that if y = -¼ there will be only 1 answer because
± √0 is the same value for + and -
Also note that if y < -¼ you'll get negative value and you can't √ the negative value
So be sure to add some checks
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It's a quadratic equation, there are 2 answers for x with every input of y
let z = (x * 25)
y = z + z^2
z^2 + z - y = 0
z = (-1 ± √(1 + 4y))/2
You'll get 2 answers for the z
z1 = (-1 + √(1 + 4y))/2
z2 = (-1 - √(1 + 4y))/2then for each z find x
x = z/25
what did i just read xD
Youtube: RubenEditIT
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what did i just read xD
Standard formula for quadratic equation
ax^2 + bx + c = 0
D = b^2 + 4ac
x = -b ± √D
2a
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y = x * 25 + (x * 25) ^ 2
y = x * 25 + x^2 + 50x + 625
y = x^2 + 75x + 625
y = ax^2 + bx + c
in this case:
a = 1
b = 75
c = 625
substitute these in for the quadratic formula which is as follows:
x = (-b ± √( ̅b^2 - 4ac )) / 2a
x = (-75 ± √(75^2 - 4(1)(625)) / 2(1)
and there is your x equals
if you want it even more simplified (after solving the equation):
x = -9.54915028125263 or -65.45084971874738
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You forgot about the y (to use the quadratic equation you need the other side to = 0), so you've only found the answer for y = 0
(I'm pretty sure Gosha's answer is correct though)
Edit: Oh wait, I didnt notice it was * not + as well (wasnt just you XD)
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y = x * 25 + (x * 25) ^ 2
y = x * 25 + x^2 + 50x + 625
You must be American
Everybody edits, but some edit more than others
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so im gonna rewrite the equation as
y=(25x)^2+(25x)
because it is easier on my eyes
then i simplify and idk if im right
y-25x=(25x)^2
sqrt(y-25x)=25x
(sqrt(y-25x))/25=x
(sqrt(y-x))=x
so x=(sqrt(y-x)) is maybe the right answer. you probably was x on one side and maybe ill try it later but right now idek if this is right but yeah ok
on another note
Firecrackericebreak wrote:y = x * 25 + (x * 25) ^ 2
y = x * 25 + x^2 + 50x + 625You must be American
why do u say that
EDIT: if i use my quadratic program i get
y=(x+1)x
so
y=x^2+x
y-x=x^2
sqrt(y-x))=x
holy **** i actually did it right.... wow. yeet
EDIT2:
y = x * 25 + (x * 25) ^ 2
y = x * 25 + x^2 + 50x + 625
(25x)^2 != x^2 +50x +625. you thought of it as x + 25, but it isnt. therefore your entire post is for y=25x + (x +25)^2. those insane answers probably wouldnt with an equation as simple as this soo yeah
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those insane answers probably wouldnt with an equation as simple as this soo yeah
Youd be surprised how unlikely getting nice numbers is in the real world when you have an x^2 (exams etc use numbers specifically chosen becuase they use nice results)
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Bimps wrote:those insane answers probably wouldnt with an equation as simple as this soo yeah
Youd be surprised how unlikely getting nice numbers is in the real world when you have an x^2 (exams etc use numbers specifically chosen becuase they use nice results)
yeah im aware but when a quadratic has a = 25, b = 25, and c = 0 the results arent gonna be...whatever that was
EDIT: also firebreaker, you used the quadratic equation wrong. it shouldve been y=, not x= . y = those two numbers. then you can factor it back in and simplify easier or whatever
EDIT: after consulting wolfram alpha, the equation is only true with the 3 following integer pairs: (0,0) (1,2) and (2,6)
here is the image it spat out
EDIT: there's more solutions than those three
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▼LukeM wrote:yeah im aware but when a quadratic has a = 25, b = 25, and c = 0 the results arent gonna be...whatever that was
EDIT: also firebreaker, you used the quadratic equation wrong. it shouldve been y=, not x= . y = those two numbers. then you can factor it back in and simplify easier or whatever
It was c = -y not c = 0, so you cant just get two numbers (and for the majority of cases it wont give a nice answer)
(and they needed to move the y to the right hand side, not put the quadratic equation equal to y, its specifically to find the variable used in the expression, not the expression's value)
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Bimps wrote:▼LukeM wrote:yeah im aware but when a quadratic has a = 25, b = 25, and c = 0 the results arent gonna be...whatever that was
EDIT: also firebreaker, you used the quadratic equation wrong. it shouldve been y=, not x= . y = those two numbers. then you can factor it back in and simplify easier or whatever
It was c = -y not c = 0, so you cant just get two numbers (and for the majority of cases it wont give a nice answer)
(and they needed to move the y to the right hand side, not put the quadratic equation equal to y, its specifically to find the variable used in the expression, not the expression's value)
****
i thought 25x^2 was 25(x^2)
the x-intercepts are actually -1/25 and 0
so
y=(25x+1)x
y/(25x+1)=x
is that right
**** this
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why are you all people resolving that equation smh gosha did it already
i guess ill hop on the bandwagon
y = x * 25 + (x * 25) ^ 2
y = 25(x + 25x^2)
x + 25x^2 = y/25
25x^2 + x - y/25 = 0
D = 1 - 4 * 25 * (-y/25) = 1 + 4y;
1 + 4y = 0 --> if y=-1/4 then there is one real value for X;
1 + 4y > 0 --> if y > -1/4 then there are two real values for X;
if y < -1/4 then the X1 and X2 are complex values;
X1 = (-1 - sqrt(D))/ 50
X2 = (-1 + sqrt(D))/ 50
where D = 1 + 4y
final result:
X1 = (-1 - sqrt(1+4y))/50
X2 = (-1 + sqrt(1+4y))/50
(checked the result with desmos, it does match)
Also note that if y < -1 you'll get negative value and you can't √ the negative value
incorrect. the critical point is y = -1/4 because you're taking sqrt(1+4y)
Edit: my bad, forgot a pair of brackets in the final result
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This thread is giving me PTSD from the F grade I got
Thanks for the HELp guys
EDIT: @LukeM this is not for an EE bot I thought I would make it for EE lol.
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you ain't tricking us with these russian spying links!
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you ain't tricking us with these Russian spying links!
But I'm too young for a spy. Also if I'd spy, then definitely not you!
maxi123 wrote:you ain't tricking us with these Russian spying links!
But I'm too young for a spy. Also if I'd spy, then definitely not you!
well obviously because you already got caught
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Can only say: President Medvedev
nice a challenge ill try
Est. December 2010
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y = x * 25 + (x * 25) ^ 2
y = x * 25 + x^2 + 50x + 625
um (x*25)(x*25)=x^2+625 its not (x+25)(x+25) so u dont times them all by each other
is this right? y=25x+625x^2
625x^2+25x=0
(-25+(625-2500))/1250=-1.52
(-25-(625-2500))/1250=0.74
Est. December 2010
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y=25x+625x^2
625x^2+25x=0
AAAHHHHH!!!!! WHY DOES EVERYONE FORGET ABOUT THE y?????
625x^2 + 25x - y=0
other than that I think its correct though
(also I'm pretty sure Gosha's answer is correct, so use that to check)
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