X^2=-5 solve for x. write your answer in simplified, rationalized form

x = 1.236 i

x = i √5

Step-by-step explanation:

Here in this question we are given the equation x² = - 5, which we have to solve.

Since x² = - 5  

⇒ x = √ (- 5).

Now, √(-5) can be written as .

Now, it is considered an imaginary number, not real number when there is a square root of a negative number.

Therefore, √(- 1) is an imaginary number and it is denoted by i.

Therefore, x = i √5 .... this is the solution in rationalized form.

Again, x = 1.236 i ...... this is the solution in simplified form. (Answer)

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