Question

Decide how many solutions this equation has:
x^2 + 3 = 0

Answer 1

@twistnflip

Answer 2

may be just try solving it :
\(x^2+3=0 \implies x^2=-3 \implies \cdots \)

Answer 3

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

Answer 4

plugin \(x=6\)
does it make the given equation true ?

Answer 5

I think not

Answer 6

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.

Answer 7

What about a square root of negative 3? Does such thing exist?

Answer 8

I think there is no solution right?

Answer 9

What if I try putting the negative sign before the bracket surrounding square root of 3?

Answer 10

Like -(sqrt(3)) Probably I am wrong.

Answer 11

Nah forget it I don't think that even exists.

Answer 12

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?

Answer 13

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

Answer 14

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.

Answer 15

\[(-\sqrt{3})^2=((-1)\sqrt{3})^2= (-1)^2 (\sqrt{3})^2=1(3)=3 \neq -3\]

Answer 16

So that's the full solution for x apparently. @abriannaridley I guess that's your take home message from todayXD

Answer 17

lol thanks for everyones help! :P

Answer 18

what conclusion did you draw from this @abriannaridley ?

Answer 19

im liking jokes that cortana tells me when i feel bored... so let me tell you a joke :)
gimme one moment to type..

Answer 20

okay so im not 100% if this is right but there is only solution to that problem? @freckles

Answer 21

only solution
you mean no real solution right?

Answer 22

x^2=negative number will never happen under the real numbers

Answer 23

Does cortana make no comment like Siri when you talk like a you know person ?

Answer 24

Yes lol! should've just said no solution

Answer 25

x^2=negative number can happen under the complex numbers

Answer 26

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?

Answer 27

x-intercepts can found by setting y to 0 and solve for x

Answer 28

ohh okay!

Answer 29

and yeah to prevent things from getting to long sometimes it is best to post a new question

Answer 30

but you can post a question I guess if you have trouble solving 0=x^2-3x+2

Answer 31

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."
```

Answer 32

but you can post a question I guess if you have trouble solving 0=x^2-3x+2

Answer 33

that joke refers to solving the equation \(2x=3\).
does it really have a solution ? If it has a solution, what does it represent ?