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:

(5 - R 1) + R 1 = R 1 * (5 - R 1) / 1.2 0.83333333333333 R^{2} - 4.167 R + 5 = 0 a = 0.833333; b = - 4.167; c = 5 D = b^{2} - 4 a c = 4.16 7^{2} - 4 \cdot 0.833333 \cdot 5 = 0.6944444444 D > 0 R_{1, 2} = \frac{- b \pm D}{2 a} = \frac{4 . 1 7 \pm 0 . 6 9}{1 . 6 6 6 6 6 7} R_{1, 2} = 2.5 \pm 0.5 R_{1} = 3 R_{2} = 2 Factored form of the equation: 0.83333333333333 (R - 3) (R - 2) = 0

Solution in text:

0.83333333333333R²-4.1666666666667R+5=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 0.6944444444
D > 0 ... The equation has two distinct real roots

R₁ = 3
R₂ = 2

P = {3; 2}