SOLUTION: Solve the following equation over the complex numbers. x2 + 16 = 0

Algebra ->  Square-cubic-other-roots -> SOLUTION: Solve the following equation over the complex numbers. x2 + 16 = 0       Log On


   

Question 434233: Solve the following equation over the complex numbers.
x2 + 16 = 0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
To solve x%5E2%2B16=0, subtract 16 from both sides,
x%5E2=-16, and x= +/- sqrt(-16)= +/- sqrt(16)*Sqrt(-1), we know that
sqrt%28-1%29=i,thus x=+/-4i.