X=i

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i

i

>>689164861
reminder that while i may be a solution, it's not real.
The context of the problem is very important here.

>>689164861
Depends on your order of precedence!

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>>689165049
>>689165075
>>689165033
All wrong.

>>689164861
x^2+1=0
x^2=-1
x=(+-)i

positive and negative i are both valid solutions

X=+/- i

noodles

>>689165049
>>689165075

Bingo!

>>689165508
>>689165550

Bingoer!

x=0.01

0.01²=0.0001≈0

>>689165335

>it's not real.

It's imaginary but didn't we learn from South Park that imagination is real?

>>689165508
>>689165550
Wrong you fucking faggots, the solution is only i
Do you have any clue of how complex numbers work or did you just look it up on 9gag or you favorite scienceXD Facebook page?

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>>689165746

>x=0.01
>0.01²=0.0001≈0

That would mean 1 = 0.

>>689165891
only sometimes

>>689165878

Well i^2 is defined as -1 so could get there with i and -i.

x= xD

>>689165878
>>689166029

It would be ((-1)i)^2 which would then be (-1)^2 x i^2 though which would make you correct.

x belong to empty set dumb niggers
there is no number multiplied by itself that could give you negative number

>>689165746
engineers

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>>689166321

No x is part of the complex numbers, mongo. There just is no real number to solve the equation.

x to the power of two is always bigger than 0. 1 is always bigger than 0.
together, the left side is always bigger than 0, therefore this is not a correct equation.

>>689166321
>I haven't learned complex numbers but I know one very small piece of set theory.
>>>/m/iddle school

>>689164861
x^2 + 1 = 0
x^2 = -1
x^2 ∈ <0 ; +∞)
{-1} ∉ <0 ; +∞)
x ∈ ∅

>>689165746
in the real world yes
but in the imaginary world, no

>>689166774
Not even gonna comment on your lack of knowledge on complex numbers, just gonna state that x even if x is real, x^2 is not always bigger than 0.

>>689166774
0^2=0
0>0
>mind
>blown

>>689167751
0^2=1

You fucking nigger

>>689167933
0*0=1
>mind
>blown

0+0=1

>>689167933
x^0 = 1, but 0^x ≠ 1

The square root of -1

>>689168119
no matter how many blanks you shoot you still won't impregnate her

>>689164861
X = i

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>>689168023
kek

>>689168349
I thought about it, but such number does not exist:
√-x ∉ ℜ

How about 47x times 87y over the square root of 90?

>>689165878
The complex number form a field, so (-i)^2 can be manipulated with all the normal algebraic operations, giving you:
-i ^2 = -i*-i = -1*-1*i*i = i^2 = -1

>>689167505
>x^2 is not always bigger than 0.
explain

X=i
Fucking happy retard?

>>689164861

X is the square root of -1

>>689168576
How long did you lurk to use those signs?

>>689164861
x= sqrt(1) = 1 faggot

>>689164861
This equation has no solution.
x^2 + 1 = 0 | - 1
x^2 = 0 - 1
x^2 = -1
you can't calculate a root of a negative number

>>689169096
Took me about 10 sec with google, m8

>>689164861
The solution does not exist in the reals numbers

>>689169173
That is correct, as i've written before...

>>689167006
Idiot

>>689164861
sqrt(-1) .. whops I mean 'i'.

>>689169361
Could you explain why do you think so?

>>689169173
yes you can if you use imaginary numbers (i)

>>689169091
wich is 1

>>689167933
Kill yourself

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>mfw trying to understand this thread

>>689164861
X = -1

>>689169438
i

>>689169787
(-1)^2 = (-1) * (-1) = 1 Nope dude

X = 5

>>689169845
I do not use imaginary numbers. My math teacher wouldn't approve.

>>689164861
x^2+1=0 has infinitely many solutions if x is a Quaternion

x = bi + cj + dk, with b^2 + c^2 + d^2= 1

>>689164861

Impossible faggots, x² will never be equal to -1 cause a square is always positiv

>>689164861
This problem has no solution.

>>689169998
That is not true, because x^2 can be also 0. 0^2 = 0

X = -2

x = i

>>689170110

0² is not equal to -1 mfw

oh my fucking god is everyone here on this thread autistic or some shit, i learned how to do this when i was 11, the answer is x= -0.5 using algebra. its just inverse mathematics dipshits

>>689170176
a squared number can't be negative

>>689169957
Cuck
Nice mathemojis you used btw

>>689170110
>>689170168
see >>689168023

>>689170168
But it is also not equal to +1. 0 is special is nether positve, neither negative

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Too easy, but how about 9999999999999999999999 multiplied by 9999999999989889?

>>689164861
This shit reminds me of high school calc
https://youtu.be/9DsaAwvoegw

>>689169096
It's Unicode you fucking cabbage

>689170330

bullshit

wow not a single person except for me has got this question wright so far in this thread, x = -0.5

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>>689164861

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>>689170605

Let's just agree to disagree and leave as friends, okay? :>

>>689169957
Bet you're the type of fag that doesn't use them just because they are called "imaginary".

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>>689168576
> √-x ∉ ℜ
>

>>689170835
No, it's because if i would do such thing on my math test it would be taken as wrong. On my level of education there is no such thing as imaginary number + i've never disagreed that the solution is "i". I just did it as i was teached to answer.

>>689164861
It's square root of -1, which doesn't exist

>>689164861
x= i

>>689170926
No. Im awake all the time.

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>>689171326
and never sleep

>>689165878
I have lost faith in humanity...

>>689171394

as u said

>>689171246
>On my level of education there is no such thing as imaginary number

Then perhaps you should wait until you are old enough to talk about big boy maths with the rest of us.

Also, MODS!

>>689168798
x^2 might be equal to 0, if x=0. Obviously a particular case, but useful for whatever you call it in English on where the function starts and ends (sqrt(x) starts in 0 closed, for instance).

>>689171477
In my whole education i wont be teached to work on imaginary answers. Only because of my intrest in math i know that this is a possible solution. Waiting wont change anything boy.

>>689165508
>>689165550
the value i represent is the square root of -1
you fucking uneducated assholes

>>689164861
Its not an equation ,its an expression

>>689165550
Wrong.


a^2+b^2+c^2=1
x=ai+bj+ck

All values for a,b,c such that the second equation is true are valid solutions.

Learn to Quaternions, newfag.

>>689171684
When you take a square root it's implied that it's +/- you dopey shit. -4 * -4 is still 16

>>689164861
x={i,-i}

>>689171827
>equal sign
>not an equation

(X+1) (x-1)

0 - 1 = -1

google square root of -1

i

>>689164861
ayyyy lmao

>>689172127
so you have the negative value of the square root of -1
this has no use in mathematics so nobody uses it
so it does not exist

>>689172557
That's x^2-1. It is not true that x is equal to x^2-1, or else you'd have x=(1+/-sqrt(5))/2

You meant to type:
(x-1)(x+1)=0

Which is true, if x^1+1=0

>>689172852
*Which is true, if x^2+1=0

Fat fingers.

>>689172848
lolololol

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>>689172557

>>689172848
It's ambiguous. -

>>689172848
yes, it's called -i. Fucking magical, right? Except it does have a use in mathematics and (-i * -i) still = i^2. Dumpass.

>>689171477
>Also, MODS!
you should understand that calling for mods does not invoke them

>>689164861
>>689165033
j

>>689164861
x2 = -1
sqrx2 = sqr -1

x = squareroot of -1 = i

>>689173585
engineer detected

>>689165033
/thread
(j for the electro faggots)

>>689173736
Yea
Get on my level
Jk

>>689165746

only this guy got it right

kek

>>689173576
>you should understand that calling for mods does not invoke them

You should understand you are a newfag.

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>>689164861
Your dick

>>689174524
>implying everyone in this thread aren't not newfags

>>689174886
she got those fireproof hands

>>689175060
>implying there are still oldfags on this board

>>689175060
> implying it would have changed the quality of the thread

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>>689175563
>implying

Depends on the set we're talking about. So, I'm just going to assume the complex numbers set

x=-1
x=i

It hasn't got solution because the square root of -1 isn't anything

>>689165507
No, it doesn't.
This isn't one of those posts.

>>689176029
>implying we are only assuming real numbers

>>689171859
That doesn't change anything.

>>689176131
Correct! B-

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>>689176029

It's just dreams.

every minus number powered MUST equal <1
this equation is not correct

x^2+1=0
x^2=-1
x=-1^(1/2)
x=i

>>689164861
Sqrt of -1 is i right?

>>689176505
>equal <1
Lurk more

>>689176760
sorry, i haven't been on collage yet
I've only learned basic math

>>689172852
Are you retarded or just baiting?

>>689177039
>minus number
>equal <1
>collage
You dont have to go to college to know this.
English isn't your first language, is it?

x^2 + 1 = 0
can be written like this
(x+1)^2 = 0
-1 as x gives 0