What is the solution set for x^2 - 2x + 5 = 0? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Nallasivam V Aug 10, 2015 x =(2+ sqrt( - 16))/ (2) x =(2- sqrt( - 16))/ (2) Explanation: Since ------- (-2)^2 - (4 xx1 xx 5) < 0, x has imaginary roots x =(-b+- sqrt(b^2 - (4ac)))/ (2a) x =(-(-2)+- sqrt((-2)^2 - (4xx1xx5)))/ (2xx1) x =(-(-2)+- sqrt(4 - 20))/ (2) x =(2+ sqrt( - 16))/ (2) x =(2- sqrt( - 16))/ (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 5237 views around the world You can reuse this answer Creative Commons License