Q:

find the zeros of the polynomial f(x) = 4 root 3x^2 +5x -2root3 and verify the relationship between zeroes and coefficients

Accepted Solution

A:
Answer:Step-by-step explanation:I will rewrite your "f(x) = 4 root 3x^2 +5x -2root3" as                               f(x) = 4√3·x^2      +5x - 2√3and then identify the coefficients of this quadratic.  They are:a = 4√3, b = 5, c = -2√3.Next we'll find the "discriminant," b²-4ac:(5)² - 4(4√3)(-2√3)  =  25 + 32(3)  =    25 + 96   =   121The roots are:        -b ± √(discriminant)        -5 ± √121      -5 ± 11x = -------------------------------- = --------------- = --------------                   2a                           2(4√3)            8√3