SOLUTION: I'm not sure I understand what they are asking us to do for this problem. Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist f

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Question 173145This question is from textbook intro algebra
: I'm not sure I understand what they are asking us to do for this problem. Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16 This question is from textbook intro algebra

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I'm not sure I understand what they are asking us to do for this problem. Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16
--------------
d = b^2 - 4ac
d = 64 - 4*1*16
d = 0
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The onsite solver explains it well.
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 : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

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