Tools / Mathematics / Equation Solver

Equation Solver

Solve quadratic, linear, and 2×2 systems of equations instantly. Step-by-step algebraic working and live visual curves.

Examples:

EQUATION COEFFICIENTS

x² +

x +

= 0

x² − 5x + 6 = 0

ROOTS / SOLUTIONS

x₁ = 3

x₂ = 2

Two Distinct Real Roots

Discriminant (Δ = b² − 4ac)1

Vertex (h, k)(2.5, −0.25)

Axis of Symmetryx = 2.5

Factored Form(x − 3)(x − 2) = 0

Y-Intercept(0, 6)

PARABOLA GRAPH

y = ax² + bx + c

STEP-BY-STEP DERIVATION

EQUATION FORM: ax + b = cx + d

x +

3x + 7 = 1x + 19

SOLUTION

x =6

Unique Solution

NUMBER LINE POSITION

STEP-BY-STEP WORKING

SYSTEM OF 2 LINEAR EQUATIONS

Eq 1:x +y =

Eq 2:x −y =

INTERSECTION POINT (SOLUTION)

x = 3

y = 1

Consistent & Independent (Single Intersection)

Main Determinant (D)1

Dx3

Dy1

CRAMER'S RULE & WORKING