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:

3 / 2 * p i * (4 - 3 r) r = 0 - 14.137166941154 r^{2} + 18.85 r = 0 14.137166941154 r^{2} - 18.85 r = 0 a = 14.137167; b = - 18.85; c = - 0 D = b^{2} - 4 a c = 18.8 5^{2} - 4 \cdot 14.137167 \cdot - 0 = 355.3057584392 D > 0 r_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 8 . 8 5 \pm 3 5 5 . 3 1}{2 8 . 2 7 4 3 3 4} r_{1, 2} = 0.666667 \pm 0.666667 r_{1} = 1.333333333 r_{2} = 0 Factored form of the equation: 14.137166941154 (r - 1.333333333) r = 0

Solution in text:

-14.137166941154r²+18.849555921539r=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b² - 4ac = 355.3057584392
D > 0 ... The equation has two distinct real roots

r₁ = 1.3333333
r₂ = 0

P = {1.3333333; 0}