Math
Quadratic Equation Calculator
Solve quadratic equations and find real or complex roots.
📊
Quadratic Equation Calculator
ax² + bx + c = 0
Results
Formula & Methodology
Quadratic Formula: x = (-b ± √(b²-4ac)) / 2a
Discriminant (D = b²-4ac):
- D > 0: Two distinct real roots
- D = 0: One repeated real root
- D < 0: Two complex (imaginary) roots
Vertex: x = -b/(2a), y = ax²+bx+c
Discriminant (D = b²-4ac):
- D > 0: Two distinct real roots
- D = 0: One repeated real root
- D < 0: Two complex (imaginary) roots
Vertex: x = -b/(2a), y = ax²+bx+c
About Quadratic Equation Calculator
Solve any quadratic equation of the form ax² + bx + c = 0 using the quadratic formula. Our calculator shows real and complex roots, discriminant value, and the vertex of the parabola.
Related Calculators
％
Math
Percentage Calculator
Calculate percentages, percentage change, and reverse percentages instantly.
½
Math
Fraction Calculator
Add, subtract, multiply and divide fractions with instant simplification.
📐
Math
Pythagorean Theorem Calculator
Find the missing side of a right triangle using the Pythagorean theorem.
🔷
Math
Area Calculator
Calculate the area and perimeter of any 2D shape instantly.
📦
Math
Volume Calculator
Calculate volume and surface area of 3D shapes with ease.
🔢
Math
Matrix Calculator
Add, subtract, multiply matrices and find determinants.