SOLUTION: Help!!! SOS!!! I can't solve this one...apply the quadratic formula to find the roots of the given function, and then graph the function. g(x) = x^2 + x + 12

Question 36415: Help!!! SOS!!! I can't solve this one...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(75887) (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:

Cheers,
Stan H.
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