Respuesta :

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]