Question

Which are the solutions of x2=-11+4

Answer 1

`x_1=i√(7)`

`x_2=-i√(7)`

Explanation:

Given the equation
`x^2=-11+4`, you need to solve for the variable "x".

You can follow this steps:

Step 1: you need to make the addition indicated in the equation:

`x^2=-7`

Step 2: Apply square root to both sides of the equation:

`√(x^2)=\±√(-7)`

`x=\±√(-7)`

Step 3: Since
`i=√(-1)`, then you need to rewrite it as:

`x=\±i√(7)`

Therefore the solutions are:

`x_1=i√(7)`

`x_2=-i√(7)`