Example 1
\(x^2 - 5x + 6 = 0 \rightarrow x_1 = 3, x_2 = 2\)
二次方程式計算機
ax² + bx + c = 0の形の二次方程式をステップバイステップの解法で解く
結果
値を入力して計算をクリックして結果を表示してください。
Theory & Formula
A quadratic equation is a polynomial equation of degree 2, with the general form ax² + bx + c = 0, where a ≠ 0.
The quadratic formula provides the solution(s) to any quadratic equation. The discriminant (b² - 4ac) determines the nature of the roots:
- Δ > 0: Two distinct real roots
- Δ = 0: One real root (double root)
- Δ < 0: Two complex conjugate roots
\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Worked Examples
Example 2
\(x^2 - 4x + 4 = 0 \rightarrow x = 2\) (double root)
Example 3
\(x^2 + x + 1 = 0 \rightarrow\) Complex solutions