Question

Qual a resposta de 11 elevado a 2x+2.11 elevado a x=3

Answer 1

Ae,

use as propriedades da exponenciação já estudadas!

$11^{2x}+2\cdot11^x=3\\(11^x)^2+2\cdot11^x-3=0\\\\11^x=y\\\\y^2+2y-3=0\\\\\Delta=2^2-4\cdot1\cdot(-3)\\\Delta=4+12\\\Delta=16\\\\y= \dfrac{-2\pm \sqrt{16} }{2\cdot1} = \dfrac{-2\pm4}{2} \begin{cases}y_1=1\\y_2=-3~~(\notin\mathbb{R})\end{cases}\\\\\\11^x=y\\\\11^x=1\\11^x=11^0\\\not11^x=\not11^0\\\\x=0\\\\\\\Large\boxed{\text{S}=\{0\}}$

Valeooo