How do you solve #5x ^ { 2} + 5x - 1= 0#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Barney V. Mar 12, 2017 #x=0.171# or #x=-1.171# Explanation: #5x^2+5x-1=0# Standard form of a quadratic equation: #ax^2+bx+c=0# #x=(-b+sqrt(b^2-4ac))/(2a)# #:.x=((-5)+-sqrt(5^2-(4*5*-1)))/(2*5)# #:.x=(-5+-sqrt(25+20))/10# #:.x=(-5+sqrt45)/10# or #x=(-5-sqrt45)/10# #:.x=(-5+6.708203933)/10# or #x=(-5-6.708203933)/10# #:.x=1.708203933/10# or #x=-11.708203933/10# #:.x=0.1708203933# or #x=-1.1708203933# #:.x=0.171# or #x=-1.171# 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 4819 views around the world You can reuse this answer Creative Commons License