How do you solve #x^2 + 6x = 1#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Alan N. Mar 9, 2018 #x=-3+-sqrt10# #x approx 0.16228 or approx-6.16228# Explanation: #x^2+6x=1# #x^2+6x-1=0# Apply the quadratic formula: #x= (-6+-sqrt(6^2-4xx1xx(-1)))/(2xx1)# #= -3+-sqrt40/2# #= -3 +-sqrt(2xx2xx2xx5)/2# #=-3+- (2sqrt10)/2# #=-3+-sqrt10# #x=-3+-sqrt10# #x approx 0.16228 or approx-6.16228# 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 6723 views around the world You can reuse this answer Creative Commons License