Question

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

Answer 1

x = 1.236 i

x = i √5

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
`√((-1)* 5) =√(-1)*√(5)`.

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)