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:

8 * (10 - y) = (8 + y / 10 * (32 - 8)) * y - 2.4 y^{2} - 16 y + 80 = 0 2.4 y^{2} + 16 y - 80 = 0 a = 2.4; b = 16; c = - 80 D = b^{2} - 4 a c = 1 6^{2} - 4 \cdot 2.4 \cdot (- 80) = 1024 D > 0 y_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 1 6 \pm 1 0 2 4}{4 . 8} y_{1, 2} = - 3.333333 \pm 6.666667 y_{1} = 3.333333333 y_{2} = - 10 Factored form of the equation: 2.4 (y - 3.333333333) (y + 10) = 0

Solution in text:

-2.4y²-16y+80=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 1024
D > 0 ... The equation has two distinct real roots

y₁ = 3.3333333
y₂ = -10

P = {3.3333333; -10}