Question

la simplificacion de x2-2x+6+7x-2x2-6

Answer 1

Respuesta:

Result:

5 x - x^2

Diferentes maneras de hacerlo:

Alternate forms:

-x (x - 5)

(5 - x) x

25/4 - (x - 5/2)^2

Roots:

x = 0

x = 5

Polynomial discriminant:

Δ = 25  

Derivative:

d/dx(x^2 - 2 x + 6 + 7 x - 2 x^2 - 6) = 5 - 2 x

Indefinite integral:

integral(5 x - x^2) dx = (5 x^2)/2 - x^3/3 + constant

Global maximum:

max{x^2 - 2 x + 6 + 7 x - 2 x^2 - 6} = 25/4 at x = 5/2

Definite integral:

integral_0^5 (5 x - x^2) dx = 125/6≈20.8333

Definite integral area above the axis between the smallest and largest real roots:

integral_0^5 (5 x - x^2) θ(5 x - x^2) dx = 125/6≈20.8333

espero te funcione  :)