How do you solve the quadratic z^2+1=0 using any method? Precalculus Linear and Quadratic Functions Completing the Square 1 Answer Euan S. Aug 14, 2016 +-i Explanation: Simplest way is to add -1 to both sides: z^2 = -1 Take square roots: z = +-sqrt(-1) = +-sqrt(i^2) = +-i 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 2576 views around the world You can reuse this answer Creative Commons License