anonymous
  • anonymous
Decide how many solutions this equation has: x^2 + 3 = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@twistnflip
ganeshie8
  • ganeshie8
may be just try solving it : \(x^2+3=0 \implies x^2=-3 \implies \cdots \)
anonymous
  • anonymous
Okay can you explain to me how to solve it. I came uo with x=6 so one solution but i dont know if thats correct

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ganeshie8
  • ganeshie8
plugin \(x=6\) does it make the given equation true ?
anonymous
  • anonymous
I think not
ganeshie8
  • ganeshie8
x^2 + 3 = 0 6^2 + 3 = 0 36 + 3 = 0 39 = 0 which is clearly false, so nope, x=6 is not a solution.
anonymous
  • anonymous
What about a square root of negative 3? Does such thing exist?
anonymous
  • anonymous
I think there is no solution right?
anonymous
  • anonymous
What if I try putting the negative sign before the bracket surrounding square root of 3?
anonymous
  • anonymous
Like -(sqrt(3)) Probably I am wrong.
anonymous
  • anonymous
Nah forget it I don't think that even exists.
anonymous
  • anonymous
So yeah, I think x would have to be of square root value but with the negative sign I think that makes the equation unsolvable. Is that correct?
freckles
  • freckles
depends on the set we are solving over but no sqrt(-3) doesn't equal -sqrt(3) sqrt(-3) is imaginary while -sqrt(3) is real
anonymous
  • anonymous
Right. Imaginary root shuold be used as the solution. So I belive minus square root of three might be more relevant? Forgive me if I am wrong.
freckles
  • freckles
\[(-\sqrt{3})^2=((-1)\sqrt{3})^2= (-1)^2 (\sqrt{3})^2=1(3)=3 \neq -3\]
anonymous
  • anonymous
So that's the full solution for x apparently. @abriannaridley I guess that's your take home message from todayXD
anonymous
  • anonymous
lol thanks for everyones help! :P
freckles
  • freckles
what conclusion did you draw from this @abriannaridley ?
ganeshie8
  • ganeshie8
im liking jokes that cortana tells me when i feel bored... so let me tell you a joke :) gimme one moment to type..
anonymous
  • anonymous
okay so im not 100% if this is right but there is only solution to that problem? @freckles
freckles
  • freckles
only solution you mean no real solution right?
freckles
  • freckles
x^2=negative number will never happen under the real numbers
anonymous
  • anonymous
Does cortana make no comment like Siri when you talk like a you know person ?
anonymous
  • anonymous
Yes lol! should've just said no solution
freckles
  • freckles
x^2=negative number can happen under the complex numbers
anonymous
  • anonymous
Find the x-intercepts of the graph of the equation: y = x2 - 3x + 2 im not sure how to do this one either should i just post it as a new question?
freckles
  • freckles
x-intercepts can found by setting y to 0 and solve for x
anonymous
  • anonymous
ohh okay!
freckles
  • freckles
and yeah to prevent things from getting to long sometimes it is best to post a new question
freckles
  • freckles
but you can post a question I guess if you have trouble solving 0=x^2-3x+2
ganeshie8
  • ganeshie8
sry for the delay, here it is : ``` A foreman is yelling down into an excavation : "How many of you men down there ?" the reply came back, "three." and he said "Okay, half of you come on up." ```
freckles
  • freckles
but you can post a question I guess if you have trouble solving 0=x^2-3x+2
ganeshie8
  • ganeshie8
that joke refers to solving the equation \(2x=3\). does it really have a solution ? If it has a solution, what does it represent ?

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