Quadratic Equation Solver

Solve ax² + bx + c = 0 using Bhaskara's formula. See discriminant, roots (real or complex), vertex, step-by-step solution, and parabola graph.

x² -5x + 6 = 0

Coefficient a

Coefficient b

Coefficient c

Discriminant (Δ)

Δ = 1

Δ > 0 → Two distinct real roots

Vertex

(2.5, -0.25)

Minimum point (parabola opens upward)

Roots

x₁ = 3

x₂ = 2

Step 1: Identify the equation: ax² + bx + c = 0

→ 1x² - 5x + 6 = 0

Step 2: Calculate the discriminant: Δ = b² - 4ac

→ Δ = (-5)² - 4·(1)·(6)

→ Δ = 25 - 24

→ Δ = 1

Step 3: Apply Bhaskara's formula: x = (-b ± √Δ) / 2a

→ x = (-(-5) ± √1) / (2·1)

→ x = (5 ± 1) / 2

→ x₁ = 3

→ x₂ = 2

RootsVertex

Related Calculators

Full scientific calculator with trigonometry, logarithms, exponents, factorials, and keyboard support.

Calculate percentages: find X% of Y, what percent X is of Y, or the percentage change between two values.

Generate random numbers within a custom range. Options for integers or decimals, unique or duplicate values, and sorted results.