How do you solve x^2+3x+1=0x2+3x+1=0 algebraically? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Binayaka C. Nov 7, 2016 x=(-3+sqrt5)/2 orx=(-3-sqrt5)/2x=−3+√52orx=−3−√52 Explanation: x^2+3x+1=0 or x^2+3x+9/4 -9/4+1=0 or (x+3/2)^2 -5/4=0 or (x+3/2)^2 =5/4 or x+3/2 = +-sqrt5/2 or x= -3/2+-sqrt5/2 :. x=(-3+sqrt5)/2 orx=(-3-sqrt5)/2 {Ans] 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 1842 views around the world You can reuse this answer Creative Commons License