How do you solve (x−9)2=1? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer georgef Jul 30, 2016 If a number to the square is 1, that number is either 1 or −1 Explanation: Thus if (x−9)2=1 we know that either (x−9)=1 or (x−9)=−1. Hence we have either x=10 or x=8 Answer link Related questions What are the different methods for solving quadratic equations? What would be the best method to solve −3x2+12x+1=0? How do you solve −4x2+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 81x2+1=0? How do you solve −4x2+4000x=0? How do you solve for x in x2−6x+4=0? How do you solve x2−6x−16=0 by factoring? How do you solve by factoring and using the principle of zero products x2+7x+6=0? How do you solve x2=2x? See all questions in Comparing Methods for Solving Quadratics Impact of this question 1619 views around the world You can reuse this answer Creative Commons License