SOLUTION: For this problem I must apply the quadratic formula to find the roots of the given function and then graph the function. g(x)=x^2+x+12

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: For this problem I must apply the quadratic formula to find the roots of the given function and then graph the function. g(x)=x^2+x+12      Log On

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Question 234936: For this problem I must 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 philline_palana(12) About Me  (Show Source):
You can put this solution on YOUR website!
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 -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 , or
Here's your graph: