SOLUTION: How many positive real numbers are there in: f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 a. 1 or 0 b. 2 or 0 c. 4 or 2 d. 2 or 0

Algebra ->  Equations -> SOLUTION: How many positive real numbers are there in: f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 a. 1 or 0 b. 2 or 0 c. 4 or 2 d. 2 or 0      Log On


   

Question 144070: How many positive real numbers are there in:
f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1
a. 1 or 0
b. 2 or 0
c. 4 or 2
d. 2 or 0
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cx%5E4+-+4x%5E3+%2B+6x%5E2+-+4x+%2B+1%29
As you can see in the graph, it's tangent to the x-axis. Therefore, this function
has only one root!
Power up,
HyperBrain!