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:

q^{2} = (1 + q) * 0.52 / 0.39 q^{2} - 1.333 q - 1.333 = 0 a = 1; b = - 1.333; c = - 1.333 D = b^{2} - 4 a c = 1.33 3^{2} - 4 \cdot 1 \cdot (- 1.333) = 7.1111111111 D > 0 q_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 . 3 3 \pm 7 . 1 1}{2} q_{1, 2} = 0.666667 \pm 1.333333 q_{1} = 2 q_{2} = - 0.666666667 Factored form of the equation: (q - 2) (q + 0.666666667) = 0

Solution in text:

q²-1.3333333333333q-1.3333333333333=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 7.1111111111
D > 0 ... The equation has two distinct real roots

q₁ = 2
q₂ = -0.6666667

P = {2; -0.6666667}