Question

how to solve x^2=-27

Answer 1

Is that the whole question?

Answer 2

I believe that this is a quadratic equation... Just a minute..

Answer 3

To solve the quadratic equation:

x^2 = 27

We'll take square root both sides:

sqrt x^2 = sqrt 27

We'll write 27 = 3^3 = 3*3^2

|x| = 3sqrt3

Does this help?

Answer 4

so the last answer will be the correct answser

Answer 5

Just take the square root of both sides.

So you have \[x=\pm \sqrt{-27}\]Since you have a negative 27. You have to use complex numbers to solve.

Note that\[i=\sqrt{-1}\]

So you have \[x=\pm(\sqrt{-1}*\sqrt{3}*\sqrt{9})\] This reduces to\[x=\pm3i \sqrt{3}\]