Steps:
subtract 3 from both sides:
2x²-5x+1 - 3 = 3 - 3
Simplify:
2x² - 5x - 2 = 0
Solve with the quadratic formula :
for a = 2 , b = - 5 , c = - 2
x₁ = - ( - 5 ) +√ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2 =
x₁ = 5 + √ 41 / 4
x₂ = - ( - 5 ) - √ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2
x₂ = 5 - √ 41 / 4