i need help in solving (x + 2)^2 = -7

Question

i need help in solving (x + 2)^2 = -7

Answer 1

(x+2)² = -7

 

Take the square root of both sides:

 

√(x+2)² = √(-7)

 

x + 2 = ± i√7                  [√(-7) = √(-1*7) = √(-1)√7 = i√7 where i=√(-1)]

 

x = -2 ± i√7