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 7185 views around the world You can reuse this answer Creative Commons License