Quadratic Equation Solver - ax² + bx + c = 0 (Real & Complex Roots)
Solve any quadratic ax² + bx + c = 0 - real or complex roots, discriminant, and vertex
طريقة الاستخدام
- 1Enter a, b, c
The three coefficients of ax² + bx + c = 0. Any real numbers, positive or negative.
- 2Read the roots
Two real, one repeated, or two complex conjugate roots depending on the discriminant.
- 3See vertex and discriminant
Vertex tells you the parabola's minimum or maximum point. Discriminant (b²−4ac) sign classifies the roots.
عن 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) على 712 Tools يعمل بالكامل داخل الـ browser الخاص بك باستخدام APIs الأصلية لـ JavaScript - لا يرى أي server بياناتك أبداً. أي: نتائج فورية، خصوصية كاملة، ولا حدود للرفع.
سواء كنت في جلسة debugging، أو مراجعة سريعة، أو حادثة إنتاج - هذه الأداة مجانية وبلا حد للاستخدام. لا علامات مائية، ولا تسجيل، ولا إعلانات داخل الأداة.
الأسئلة الشائعة
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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