Question

(x-2)(x+1)(x-3)>(x-1)(x+2)(x+4)

Answer 1

Respuesta:

x>1.1929002

Explicación paso a paso:

(x-3)\cdot (x^2+x\cdot 1-2\cdot x-2)>(x+4)\cdot (x^2+x\cdot 2-1\cdot x-2)

(x-3)\cdot (x^2+x\cdot 1-2\cdot x-2)

(x-3)\cdot (x^2+x-2\cdot x-2)>(x+4)\cdot (x^2+2\cdot x-x-2)

(x-3)\cdot (x^2+x-2\cdot x-2)

(x-3)\cdot (x^2-x-2)>(x+4)\cdot (x^2+x-2)

x^3-x^2-x\cdot 2-3\cdot x^2+3\cdot x+6>x^3+x^2-x\cdot 2+4\cdot x^2+4\cdot x-8

x^3+x^2-x\cdot 2+4\cdot x^2+4\cdot x-8

x^3-4\cdot x^2+x+6>x^3+5\cdot x^2+2\cdot x-8

x^3-4\cdot x^2+x>x^3+5\cdot x^2+2\cdot x-14

-9\cdot x^2-x+14>0

(x-\frac{1+\sqrt{(-1)^2-4\cdot -9\cdot 14}}{2\cdot -9})\cdot (x-\frac{1-\sqrt{(-1)^2-4\cdot -9\cdot 14}}{2\cdot -9})>0