SOLUTION: Without solving, determine the character of the solutions of each equation in the complex number system.
4x^2 + 12x + 9 =0
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Question 736470: Without solving, determine the character of the solutions of each equation in the complex number system.
4x^2 + 12x + 9 =0
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In the quadratic formula for finding roots,
, the
discriminant is
This determines the types of solutions
----------------
The discriminant is , so there is a single solution,
called a double root
Here's the plot:
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