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

Algebra ->  Functions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Discriminant:
D=b%5E2-4ac

D=4%5E2-4%281%29%284%29 Plug in a=1, b=4, a=4

D=16-4%281%29%284%29 Square 4 to get 16

D=16-16%29 Multiply -4%2A4%2A1 to get -16

D=0 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