Use the discriminant to describe the roots of each equation. then select the best description. x2 - 4x + 4 = 0 double root real and rational roots real and irrational roots non-real roots

The Discriminant of a quadratic is defined by ⇒     b² - 4ac

In our case:  
a = 1   b = -4  and c = 4

Evaluate the Discriminant:  (-4)² - 4(1)(4) = 16 -16 = 0
Summary of the what the Discriminant tells us:  
If:  
D = a positive value, then we would have two real roots
D = a negative value, then we would have no real roots
D = 0 we would exactly one real root.. 
In our case D = 0.. so that would imply exactly one real root, or in other words choosing from your list of options chose "double root"
You could also verify this by factoring the quadratic into (x - 2)(x -2) implying the double root of '2'

32

step-by-step explanation:

these are your clues: 1. kim ran 18 races2. this was four fewer races than twice thenumber, notice it says twice the number, so you would do the equation 18x2-4; which equals the number 32.thus, 32 is your answer.

Are you asking for 6 or 15?