Question

Resolva a inequação 6x2 - X-1<0.

ME AJUDEM PFV​

Answer 1

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

$\sf 6x^2-x-1<0$

$\sf 6x^2-x-1=0$

$\sf x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4\cdot6(-1)} }{2\cdot6}$

$\sf x=\dfrac{1\pm 5} {12}$

$\sf x=\dfrac{1}{2}\\x=-\dfrac{1}{3}$

$\sf 6\left(x-\dfrac{1}{2}\right) \left(x+\dfrac{1}{3}\right)<0$

$\sf x-\dfrac{1}{2}>0\\\\x+\dfrac{1}{3}<0$

x∈∅

$\sf x+\dfrac{1}{3}>0\\\\\sf x-\dfrac{1}{2}<0$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \green{\left(-\frac{1}{3},\frac{1}{2}\right) }}}}\ \checkmark$← RESPOSTA.

Explicação passo-a-passo:

ESPERO TER AJUDADO