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:

(x + 2)^{2} = x^{2} * 1.21 - 0.21 x^{2} + 4 x + 4 = 0 0.21 x^{2} - 4 x - 4 = 0 a = 0.21; b = - 4; c = - 4 D = b^{2} - 4 a c = 4^{2} - 4 \cdot 0.21 \cdot (- 4) = 19.36 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{4 \pm 1 9 . 3 6}{0 . 4 2} x_{1, 2} = 9.52381 \pm 10.47619 x_{1} = 20 x_{2} = - 0.952380952 Factored form of the equation: 0.21 (x - 20) (x + 0.952380952) = 0

Solution in text:

-0.21x²+4x+4=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 19.36
D > 0 ... The equation has two distinct real roots

x₁ = 20
x₂ = -0.952381

P = {20; -0.952381}