How do you solve # (x-7)^2=9#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer reudhreghs Apr 7, 2016 #x = 10, 4# Explanation: #(x - 7)^2 = 9# Square root both sides to get rid of the #()^2#. This gives two answers: #3# and #-3#. Begin by solving with the answer #3#. #x - 7 = 3# Add #7# to get rid of the #-7# #x = 10# Now for #-3#, #x - 7 = -3# #x = 4# 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 4692 views around the world You can reuse this answer Creative Commons License