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:

(120 - R) + R = R (120 - R) / 19.2 0.052083333333329 R^{2} - 6.25 R + 120 = 0 a = 0.052083; b = - 6.25; c = 120 D = b^{2} - 4 a c = 6.2 5^{2} - 4 \cdot 0.052083 \cdot 120 = 14.0625 D > 0 R_{1, 2} = \frac{- b \pm D}{2 a} = \frac{6 . 2 5 \pm 1 4 . 0 6}{0 . 1 0 4 1 6 7} R_{1, 2} = 60 \pm 36 R_{1} = 96 R_{2} = 24 Factored form of the equation: 0.052083333333329 (R - 96) (R - 24) = 0

Solution in text:

0.052083333333329R²-6.25R+120=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 14.0625
D > 0 ... The equation has two distinct real roots

R₁ = 96
R₂ = 24

P = {96; 24}