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 5065 views around the world You can reuse this answer Creative Commons License