find the root soultion of y=2x^2+5x+9

Question

  =2x^2+5x+9

Answer 1

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Answer 2

It doesn't factor nicely, so you have to apply the quadratic formula to find the roots.  When you do, you get a negative result inside the radical (the √¯¯), so there are NO REAL SOLUTIONS.  But, since the problem did not limit you to the real number system, you have to assume you can step into the imaginary numbers and solve it anyway.  With that in mind, you get the following:

 

-5±√⟨-47)

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      4

 

Which then needs to be written as

 

-5±i√⟨47)
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      4