solve the equation and express the answer in simplest radical form (show step by step ) please

Question

3X^{2 _} 5X+2=0

Answer 1

3x²-5x+2 = 0     Factor the equation

(3x-2)(x-1) = 0   Set each factor equal to 0.

3x-2 = 0     or    x - 1 = 0

    3x = 2     or         x = 1

     x = 2/3  or        x = 1