Question

Cum calculez inecuatia "-2x^2 + 1 totul pe 2x^2 - 6x + 4 < -1" ?

Answer 1

$\frac{ -2x^{2}+1 }{2 x^{2} -6x+4} \ \textless \ -1 \\ -2 x^{2} +1\ \textless \ -2 x^{2} +6x-4 \\ -6x\ \textless \ -4-1 \\ -6x\ \textless \ -5 \\ x\ \textgreater \ \frac{5}{6}$
x apartine (5/6, +infinit)

DVA:
[tex]2 x^{2} -6x+4 \neq 0 \\ 2 x^{2} -6x+4= 0 \\ \Delta=36-4*2*4=36-32=4 \\ x_1= \frac{6-2}{4} =1 \\ x_2=\frac{6+2}{4} =2 \\ [/tex]
DVA:R\{1, 2}