SOLUTION: 5a) Calculate the value of the discriminant of x^2+4x+4=0 B) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? W

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Question 90408: 5a) Calculate the value of the discriminant of x^2+4x+4=0
B) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Discriminant:


Plug in a=1, b=4, a=4

Square 4 to get 16

Multiply to get

Combine like terms


So a discriminant of zero means there is only one x-intercept

When you perform the quadratic formula, you would get

Plug the discriminant into the formula

Take the square root


So the expression breaks up to:

or

or Add/subtract 0

or Simplify

So we can see that the two values are the same answer
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