SOLUTION: Determine the values or the values of the variable where the expression is defined. (x � 4) / (x^2 � x � 12)

Question 211004: Determine the values or the values of the variable where the expression is defined.
(x � 4) / (x^2 � x � 12)
Answer by ichudov(507) (Show Source): You can put this solution on YOUR website!
It is not defined where the denominator is zero.
So you need to find where the denominator is zеро

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 : .

Discriminant d=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, -3. Here's your graph:

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