SOLUTION: {{{ g(x)=x^2+X+12 }}} Use the quadratic formula to find the roots I get a=1 b=1 and c=12 If I'm doing this right I'm getting roots of {{{ -1+i * sqrt47/2 }}} and {{{-1-i *

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Question 461037: Use the quadratic formula to find the roots
I get a=1 b=1 and c=12
If I'm doing this right I'm getting roots of and
Am I right? If so, I do I plug that into the original formula to check the answers (as required in my class)?

Answer by rwm(914)   (Show Source): You can put this solution on YOUR website!
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:

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