Please answer with the correct answer.

Answer:
see explanation
Step-by-step explanation:
2x² - 5x + 1 = 0 ← is in standard form
with a = 2, b = - 5, c = 1
Using the quadratic formula to solve for x
x =( - (- 5) ± [tex]\sqrt{(-5)^2-(4(2)(1))}[/tex] / 4
= ( 5 ± [tex]\sqrt{25-8}[/tex]) / 4
x = [tex]\frac{5}{4}[/tex] - [tex]\frac{\sqrt{17} }{4}[/tex] or
x = [tex]\frac{5}{4}[/tex] + [tex]\frac{\sqrt{17} }{4}[/tex]