# SOLUTION: This one is so hard for me :( Could you help me out? I posted this before but got no response. Thanks!!! Apply the quadratic formula to find the roots of the given function, and

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Question 36439: This one is so hard for me :( Could you help me out? I posted this before but got no response. Thanks!!!
Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = x^2 + x + 12

Answer by stanbon(57347)   (Show Source):
You can put this solution on YOUR website!
a=1, b=1, c=12
 Solved by pluggable solver: SOLVE quadratic equation with variable 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 -47 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 -47 is + or - . The solution is Here's your graph:

Hope this helps.
Cheers,
Stan H.