How would I find the quadratic equation given the solutions of ± i?

Start with the solution and work backwards:

x = ±i

x = ±√-1 {the square root of -1 is i, when dealing with "imaginary" or "complex" numbers}

x² = -1 {squared both sides of the previous equation}

**x² + 1 = 0**{added 1 to both sides}

*© Algebra House*