Quadratic Equation Solver - ax² + bx + c = 0 (Real & Complex Roots)

Solve any quadratic ax² + bx + c = 0 - real or complex roots, discriminant, and vertex

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Solve ax² + bx + c = 0
x₁
2
x₂
1
Discriminant (b²−4ac)
1
Vertex x
1.5
Vertex y
-0.25
Quadratic formula: x = (−b ± √(b²−4ac)) ÷ 2a. Discriminant sign tells you: >0 two real roots, =0 one repeated, <0 two complex conjugate roots.
Hanya estimasi. Hasil dihitung dari rumus umum berdasarkan input yang kamu masukkan, dan hanya untuk tujuan informasi. Bukan nasihat finansial, pajak, hukum, medis, atau profesional, dan tidak memperhitungkan situasi pribadi kamu, yurisdiksi, pajak, biaya, atau kondisi kesehatan. Selalu verifikasi angka penting dengan profesional yang berkualifikasi. Dengan memakai tool ini kamu setuju dengan Syarat & Disclaimer.

Cara pakai

  1. 1
    Enter a, b, c

    The three coefficients of ax² + bx + c = 0. Any real numbers, positive or negative.

  2. 2
    Read the roots

    Two real, one repeated, or two complex conjugate roots depending on the discriminant.

  3. 3
    See vertex and discriminant

    Vertex tells you the parabola&#39;s minimum or maximum point. Discriminant (b²−4ac) sign classifies the roots.

Tentang Quadratic Equation Solver - ax² + bx + c = 0 (Real & Complex Roots)

Free quadratic equation solver. Enter the coefficients a, b, and c of ax² + bx + c = 0 to see the roots (real or complex), the discriminant, and the vertex coordinates of the parabola. Handles all three discriminant cases: two real roots, one repeated root, or two complex conjugate roots. Runs entirely in your browser. Quadratic Equation Solver - ax² + bx + c = 0 (Real & Complex Roots) di 712 Tools jalan sepenuhnya di browser kamu pakai JavaScript API native - tidak ada server yang pernah melihat data kamu. Artinya hasil instan, privasi penuh, dan tanpa batas upload.

Buat sesi debug, quick sanity check, atau incident produksi - tool ini gratis dipakai sebanyak yang kamu butuh. Tanpa watermark, tanpa signup, dan tanpa ads di dalam tool.

Pertanyaan yang sering ditanyakan

What is the quadratic formula?

x = (−b ± √(b²−4ac)) ÷ 2a. The ± gives two solutions when the discriminant is positive.

What happens if a = 0?

The equation is linear, not quadratic. The tool solves x = −c ÷ b when b is non-zero.

What are complex roots?

When b² − 4ac < 0 the square root is imaginary, giving two complex conjugate solutions of the form p ± qi.

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