SOLUTION: Hi! Could you please help me with this problem? I have to find the solutions for 2x^2 + 4x + 7=0 using the quadratic equation...could you please help me? thank you so much!

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Question 378357: Hi! Could you please help me with this problem?
I have to find the solutions for 2x^2 + 4x + 7=0 using the quadratic equation...could you please help me?
thank you so much!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Sub the coefficients for a, b & c
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 -40 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 -40 is + or - .

The solution is , or
Here's your graph:

-------------------
x = -1 ± i*sqrt(10)/2

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