数学

一元二次方程求解器

使用求根公式求解一元二次方程

ax² + bx + c = 0
使用方法
  1. Ensure your equation is in the standard form: ax² + bx + c = 0.
  2. Enter the coefficients a, b, and c. Include negative signs if necessary.
  3. Click Calculate Roots to find the values of x.

公式

Quadratic Formula:

x = (-b ± √(b² - 4ac)) / 2a

The term b² - 4ac is called the Discriminant (Δ):

  • If Δ > 0, there are 2 real roots.
  • If Δ = 0, there is 1 real root (repeated).
  • If Δ < 0, there are 2 complex (imaginary) roots.