Problem: What are the roots of 3x^2 + 2x -2 ?
Find all the roots for this polynomial.
-b ± √(b² - 4*a*c)
x = ----------------------
2a
-2 ± √(2² - 4*3*-2)
x = -----------------------
2*3
-2 ± √(4 + 24)
x = --------------------
6
-2 ± √(28)
x = -------------
6
-2 ± 5.2915
x = ---------------
6
-2 + 5.2915 -2 - 5.2915
x = ---------------- and x = ---------------
6 6
-2 + 5.2915 -2 - 5.2915
x = --------------- and x = ---------------
6 6
3.2915 -7.2915
x = --------- and x = -----------
6 6
x = 0.54858 and x = -1.21525