Answer:
[tex]x_1=i\sqrt{7}[/tex]
[tex]x_2=-i\sqrt{7}[/tex]
Step-by-step explanation:
Given the equation [tex]x^2=-11+4[/tex], 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:
[tex]x^2=-7[/tex]
Step 2: Apply square root to both sides of the equation:
[tex]\sqrt{x^2}=\±\sqrt{-7}[/tex]
[tex]x=\±\sqrt{-7}[/tex]
Step 3: Since [tex]i=\sqrt{-1}[/tex], then you need to rewrite it as:
[tex]x=\±i\sqrt{7}[/tex]
Therefore the solutions are:
[tex]x_1=i\sqrt{7}[/tex]
[tex]x_2=-i\sqrt{7}[/tex]
