How do you solve #x^2 - 3x + 1 = 0#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Nicole May 20, 2016 #(3±sqrt(5))/(2)# Explanation: Use the quadratic formula #(-b±sqrt(b^2-4ac))/(2a)# #a=1# #b=-3# #c=1# #(3±sqrt(-3^2-4xx1xx1))/(2xx1)# = #(3±sqrt(5))/(2)# Answer link Related questions What are the different methods for solving quadratic equations? What would be the best method to solve #-3x^2+12x+1=0#? How do you solve #-4x^2+4x=9#? What are the two numbers if the product of two consecutive integers is 72? Which method do you use to solve the quadratic equation #81x^2+1=0#? How do you solve #-4x^2+4000x=0#? How do you solve for x in #x^2-6x+4=0#? How do you solve #x^2-6x-16=0# by factoring? How do you solve by factoring and using the principle of zero products #x^2 + 7x + 6 = 0#? How do you solve #x^2=2x#? See all questions in Comparing Methods for Solving Quadratics Impact of this question 1191 views around the world You can reuse this answer Creative Commons License