3x2-8x+5=0

Solve 3x^2 - 8x + 5 = 0.

Factoring:

• 3x^2 - 8x + 5 = (3x - 5)(x - 1) = 0
• Solutions: x = 1 or x = 5/3

Alternatively, quadratic formula:

• Discriminant D = (-8)^2 - 4·3·5 = 64 - 60 = 4
• x = [8 ± sqrt(4)] / (2·3) = (8 ± 2)/6 → x = 1 or x = 5/3

Final answers: x = 1, 5/3.