How do you solve (x + 6)^2 = 121? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Alan P. May 8, 2016 x=-17 or x=5 Explanation: Given color(white)("XXX")(x+6)^2=121 Therefore color(white)("XXX")x+6 = +-sqrt(121) = +- 11 If color(white)("XXX"){: (x+6=-11,color(white)("XXXX"),x+6=+11), (rarrx=-17,,rarrx=+5) :} 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 2562 views around the world You can reuse this answer Creative Commons License