(1) Collect all terms on one side ⇒ ax² + bx + c = 0 do it so "ax²" is positive
2x² - 5x + 1 = 0 ←only need to change sign of moved terms
(2) Identify a, b, and c ⇒ a = 2, b = -5, and c = 1
(3) Substitute values into the quadratic formula: [tex]x= \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} [/tex]
[tex]x= \frac{-(-5)+/- \sqrt{ (-5)^{2}-4(2)(1)} }{2(2)} [/tex]
[tex] x_{1} = \frac{5+ \sqrt{17} }{4} [/tex]
[tex] x_{2} = \frac{5- \sqrt{17} }{4} [/tex]