Question

$(\frac{1}{3})x^{2}-x\ \textgreater \ (\frac{1}{3}){2}$

Answer 1

$(\frac{1}{3})x^{2}-x\ \textgreater \ (\frac{1}{3}){2} \\ \\ {x}^{2} - x - 2> 0$
x²-x-2>0


a=1

b=-1

c=-2


∆=b²-4.a.c

∆=(-1)^2-4.(1).(-2)

∆=1+8

∆=9

x'=1+√9/2

x'=1+3/2

x'=4/2

x'=2

x"=1-√9/2

x"=1-3/2

x"=-2/2

x"=-1


x'=2 e x"=-1




S=[x E |R/ x<-1 ou x <2}

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espero ter ajudado!

boa tarde!