Answer:
{1, -2/5}
Step-by-step explanation:
5x^2 - 3x -2 = 0
x^2 - (3/5)x - 2/5 = 0
( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0
( x - (3/10) )^2 = 2/5+9/100
( x - (3/10) )^2 = (7/10)^2
Take square roots on both sides
x - 3/10 = +/- 7/10
x = 3/10 +/- 7/10
= { 1, -2/5 }
