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Complex Numbers to Solve Equations


By making use of the imaginary number i we can solve equations that involve the square roots of negative numbers.
Complex numbers enable us to solve equations that we wouldn't be able to otherwise solve. Examine the following example: Example of Solved Equation
Without the ability to take the square root of a negative number we would not be able to solve these kinds of problems.
Practice Problems  Solving Equations 

Directions: Use imaginary numbers to solve these practice equations.

 Problem 1) X2 = - 13

 answer  


  2) X2 = - 19

 answer  

3) X2 = - 36

 answer