How do you solve #x^2+x+1=0#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Joel Y. Mar 24, 2018 x = #(-1 ± isqrt(3))/2# Explanation: Use the quadratic formula : x = #(-b ± sqrt(b^2 - 4ac))/(2a)# x = #(-1 ± sqrt(1 - 4(1)(1)))/(2(1))# x = #(-1 ± sqrt(-3))/2# x = #(-1 ± isqrt(3))/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 6981 views around the world You can reuse this answer Creative Commons License