SOLUTION: 5) a) 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?

Question 90545: 5)
a) 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

Remember, the quadratic formula is

where the discriminant is

So when you perform the quadratic formula, you would get

Plug the discriminant and the given values into the formula

Take the square root

So the expression breaks up to:

Add/subtract 0

Simplify

So we can see that the two values are the same answer. So this means we only get one x-intercept
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