How do you solve ( x - 6)^2 = 19? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Meave60 Apr 14, 2016 x=6+sqrt19, 6-sqrt 19 Explanation: (x-6)^2=19 Take the square root of both sides. x-6=+-sqrt 19 Add 6 to both sides of the equation. x=6+-sqrt 19 Solve for x. x=6+sqrt19, 6-sqrt 19 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 2163 views around the world You can reuse this answer Creative Commons License