SOLUTION: Calculate the value of the discriminant of x2+4x+4=0 By examining the sign of the discriminant in part a, how many x-intercepts would the graph of x2+4x+4=0 have? Why? Thank

Algebra.Com
Question 204457: Calculate the value of the discriminant of x2+4x+4=0
By examining the sign of the discriminant in part a, how many x-intercepts would the graph of x2+4x+4=0 have? Why?

Thanks so much!!
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Calculate the value of the discriminant of x2+4x+4=0
By examining the sign of the discriminant in part a, how many x-intercepts would the graph of x2+4x+4=0 have? Why?
----------
The discriminant is b^2 - 4ac, which in this case is zero (0). That means there is one x-intercept - the x-axis is tangent to the curve at its vertex.
This is covered well by the onsite solver, too.
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: -2, -2. Here's your graph:
RELATED QUESTIONS

Calculate the value of the discriminant of x2+x+3=0 that is x squared By examining the (answered by Earlsdon)
5) a) Calculate the value of the discriminant of x^2+4x+4=0 b) By examining the... (answered by jim_thompson5910)
5a) Calculate the value of the discriminant of x^2+4x+4=0 B) By examining the sign... (answered by jim_thompson5910)
Calculate the value of the discriminant of x^2+4x+4=0 ,By examining the sign of the... (answered by nabla)
a)calcualte the value of the discriminant of x^2+4x+4=0 b)By examining the sign of the... (answered by stanbon)
calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the... (answered by solver91311)
Calculate the value of the discriminant of x^(2 )+2x+1=0 By examining the sign of (answered by jim_thompson5910)
Hello can you help me with this. Calculate the value of the discriminant of x^2+4x+4=0... (answered by josmiceli,solver91311)
Calculate the value of the discriminant of x squared plus 4x plus 4 equals zero... (answered by stanbon)