Question

2(x-7)(x-1)>(2x+1)(+3) con procedimiento​

Answer 1

Respuesta:

2(x-7)(x-1)>(2x+1)(+3)

$2x^2-22x+11>0\\\\2\left(x-\frac{11}{2}\right)^2-\frac{99}{2}>0\\\\2\left(x-\frac{11}{2}\right)^2-\frac{99}{2}+\frac{99}{2}>0+\frac{99}{2}\\\\2\left(x-\frac{11}{2}\right)^2>\frac{99}{2}\\\\\left(x-\frac{11}{2}\right)^2>\frac{99}{4}\\\\x-\frac{11}{2}<-\sqrt{\frac{99}{4}}\quad \mathrm{or}\quad \:x-\frac{11}{2}>\sqrt{\frac{99}{4}}\\\\x<\frac{-3\sqrt{11}+11}{2}$

ESO ME SALIO A MI