How do you solve the equation 4x^2-28x+49=5 by completing the square? Precalculus Linear and Quadratic Functions Completing the Square 1 Answer Dean R. Jun 1, 2018 4(x^2-7x + (7/2)^2 )=5-49+4(7/2)^2 4(x-7/2)^2=5 (2x - 7)^2 = 5 x = 1/2 ( 7 pm sqrt{5} ) Answer link Related questions What does completing the square mean? How do I complete the square? Does completing the square always work? Is completing the square always the best method? Do I need to complete the square if f(x) = x^2 - 6x + 9? How do I complete the square if f(x) = x^2 + 4x - 9? How do I complete the square if the coefficient of x^2 is not 1? How do I complete the square if f(x) = 3x^2 + 12x - 9? If I know the quadratic formula, why must I also know how to complete the square? How do I use completing the square to describe the graph of f(x)=30-12x-x^2? See all questions in Completing the Square Impact of this question 3543 views around the world You can reuse this answer Creative Commons License