math problem

Question

(X+6)^2=-14

Answer 1

(x+6)² = -14

 

x + 6 = ±√(-14)

 

x + 6 = ±√(14)i

 

x = -6 ± √(14)i

Answer 2

(x + 6)² = -14

 

Square-root both sides of equation to undo the exponent.

 

x + 6 = ±√(-14)

 

x + 6 = ±√(-1)√(14)      (Note that i=√(-1) is an imaginary number)

 

x + 6 = ± i√(14)

 

 

x = -6 + i√(14)

x = -6 - i√(14)