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:

- 0, 025 t^{2} + 1, 8 t = 0 - 0.025 t^{2} + 1.8 t = 0 0.025 t^{2} - 1.8 t = 0 a = 0.025; b = - 1.8; c = - 0 D = b^{2} - 4 a c = 1 . 8^{2} - 4 \cdot 0.025 \cdot - 0 = 3.24 D > 0 t_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 . 8 \pm 3 . 2 4}{0 . 0 5} = 36 \pm 1296 t_{1, 2} = 36 \pm 36 t_{1} = 72 t_{2} = 0 Factored form of the equation: 0.025 (t - 72) t = 0

Solution in text:

-0.025t²+1.8t=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b² - 4ac = 3.24
D > 0 ... The equation has two distinct real roots

t₁ = 72
t₂ = 0

P = {72; 0}