Resolva, em R, as inequações: a) x - 4 ≤ \frac{12}{x} Faça passo a passo.... Pergunta de ideia deJosiasvargas11

Josiasvargas11 @Josiasvargas11

September 2019 1 30 Report

Resolva, em R, as inequações:

a) x - 4 ≤ \frac{12}{x}

Faça passo a passo

Lista de comentários

lavinnea

$x-4\leq {12\over x}\\ \\ mmc=x\\ \\ x^{2} -4x\leq 12\\ \\ x^{2} -4x-12\leq 0\\ \\ a=1\\ b=-4\\ c=-12\\ \\ \Delta=b^2-4ac\\ \Delta=(-4)^2-4(1)(-12)\\ \Delta=16+48\\ \Delta=64\\ \\ x={-b\pm\sqrt{\Delta} \over2a}={-(-4)\pm\sqrt{64} \over2}={4\pm8\over2}\\ \\ x'={4+8\over2}={12\over2}=6\\ \\ x"={4-8\over2}={-4\over2}=-2$

$esquema\\ \\ +++\bullet^{-2}----\bullet^6++++\\ \\ Como~pediu~~\leq 0\\ \\ S=\{x\in R/-2\leq x\leq 6\}$

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