Quadratic equation calculator

Quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

k^{2} - 2 k + 1 = 0 k^{2} - 2 k + 1 = 0 a = 1; b = - 2; c = 1 D = b^{2} - 4 a c = 2^{2} - 4 \cdot 1 \cdot 1 = 0 D = 0 k_{1, 2} = \frac{- b \pm D}{2 a} = \frac{2 \pm 0}{2} = 1 \pm k_{1, 2} = 1 \pm 0 k_{1} = k_{2} = 1 Factored form of the equation: (k - 1) (k - 1) = 0

Solution in text:

k²-2k+1=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 0
D=0 ... The equation has one double real root

k₁ = 1
k₂ = 1

P = {1}