How do you solve #x^2 = x + 2 #? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Professor Sam Mar 29, 2017 #x = 2# Explanation: #x^2 = x + 2# #x^2 - x= 2# #(x * x )-x = 2# #(x*x)-x = x * (x - 1)# #x *(x-1) = 2# #(2-1)x = 2# #1x = 2# #1 = 2/x# #x = 2# 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 1025 views around the world You can reuse this answer Creative Commons License