Solve x for the equation 2x^2-5x+1=3

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