SOLUTION: Using the discriminant, determine the number of x-intercepts the graph of the equation will have. Do not graph the equation. y = x^2 + 12x + 36

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Question 247389: Using the discriminant, determine the number of x-intercepts the graph of the equation will have. Do not graph the equation.
y = x^2 + 12x + 36
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!

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Can this be factored?
Yes.
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You also can use the quadratic formula:
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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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -6, -6. Here's your graph:
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