SOLUTION: 1.What is the answer to X^2+x+2=0 using complex number system? 2. what is the real solution of the equation by factoring? x^3=6x^2-9x-54=0

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Question 221854: 1.What is the answer to X^2+x+2=0 using complex number system?
2. what is the real solution of the equation by factoring?
x^3=6x^2-9x-54=0

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1.What is the answer to X^2+x+2=0 using complex number system?
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -7 is + or - .

The solution is , or
Here's your graph:



2. what is the real solution of the equation by factoring?
x^3=6x^2-9x-54=0
Too many equal signs.

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