Quadratic Equation Calculator

A quadratic equation has the basic form:

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

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

(t - 1)^{2} + t^{2} = 1 2 t^{2} - 2 t = 0 2 . . . prime number 0 = 0 GCD (2, 2, 0) = 2 = 2 t^{2} - t = 0 a = 1; b = - 1; c = 0 D = b^{2} - 4 a c = 1^{2} - 4 \cdot 1 \cdot 0 = 1 D > 0 t_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 \pm 1}{2} t_{1, 2} = \frac{1 \pm 1}{2} t_{1, 2} = 0.5 \pm 0.5 t_{1} = 1 t_{2} = 0 Factored form of the equation: (t - 1) t = 0

Solution in text:

2t²-2t=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b² - 4ac = 4
D > 0 ... The equation has two distinct real roots

t₁ = 1
t₂ = 0

P = {1; 0}