How do you solve #(x+2)^2=-7#?
Now I use the discriminant to determine if there is a solution
Already, discriminant is less than zero there there are no real solutions for x.
There are many ways to tackle this; the easiest and quickest way here would be the square root method: take the square root of both sides:
Since you cannot take the square root of a negative and get a real number, there is no real solution to this equation. However, we can simplify to get a complex solution: