Equation Solver

Equation Solver

Solve linear and quadratic equations, including repeated, complex, identity and no-solution cases.

理解結果

如何計算？

When a is zero, the solver automatically handles the equation as linear. A negative discriminant produces a complex conjugate pair.

Quadratic formulax = (−b ± √(b² − 4ac)) ÷ 2a

實際示例

For x² − 5x + 6 = 0, the discriminant is 1 and the roots are 3 and 2.

假設、結果解讀與常見錯誤

計算假設

  • Coefficients represent ax² + bx + c = 0.
  • Coefficients are finite decimal numbers.
  • Displayed roots are rounded to twelve significant digits.

如何解讀結果

  • A positive discriminant gives two real roots.
  • A zero discriminant gives one repeated real root.
  • A negative discriminant gives a complex conjugate pair.

應避免的常見錯誤

  • Forgetting to move every term to one side so the other side equals zero.
  • Entering the constant term with the wrong sign.
  • Assuming a zero leading coefficient still defines a quadratic equation.