Solve linear and quadratic equations instantly with a clean coefficient-based calculator, exact equation preview, and clear root analysis.
Equation details
Select equation type and enter the coefficients.
Main coefficient for x or x².
Second coefficient.
Constant term for the equation.
Equation preview2x² – 8x + 6 = 0
Live summary
Preview updates while you edit coefficients.
Equation typeQuadratic
Preview resultx₁ = 3, x₂ = 1
Discriminant / ConditionΔ = 16
Tip: linear mode solves one variable with one root. Quadratic mode also shows the discriminant and whether the roots are real, repeated, or complex.
Equation solution
x₁ = 3, x₂ = 1
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Review roots and equation properties together
Equation TypeQuadratic
Root 13
Root 21
Discriminant16
How to read this: the calculator uses coefficient form. In quadratic equations, the discriminant b² – 4ac determines whether the roots are two real roots, one repeated root, or two complex roots.