SOLUTION: Solve the equation x^2+16=0, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strateg

Algebra ->  Finance -> SOLUTION: Solve the equation x^2+16=0, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strateg      Log On


   

Question 1140442: Solve the equation x^2+16=0, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strategy.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The strategy is to move the constant term "16" from the left side of the equation to the right side with changing its sign 

- and then to take the square root of both sides.


You will get then


    x^2 = -16;


this equation has no real roots; it has two complex roots instead


    x%5B1%2C2%5D = sqrt%28-16%29 = +/- 4i,


that are imaginary numbers.