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√3
and 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 = 121
The roots are:
-b ± √(discriminant) -5 ± √121 -5 ± 11
x = -------------------------------- = --------------- = --------------
2a 2(4√3) 8√3
