Solve x² + 1 = 0
x² + 1 = 0 has no real solutions because the discriminant is negative.
How to use this tool
- Enter a (coefficient of x²), b (coefficient of x) and c (constant) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your root 1 (x₁) and the full breakdown beneath it.
x² + 1 = 0 has no real roots — the solutions are the imaginary numbers x = i and x = −i.
Frequently asked questions
- What is the quadratic formula?
- For ax² + bx + c = 0, the roots are x = (-b ± √(b²-4ac)) / (2a). The discriminant b²-4ac determines the nature of the roots.