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2009-10-20T21:57:25+02:00
5/(x-1)≥3/x+2
(x+2)*5/(x+2)(x-1)≥3*(x-1)/x+2)(x-1)
5x+10/(x+2)(x-1)≥3x-1/9x+2)(x-1)
5x+10-3x+1/(x+2)(x-1)≥0
x≠-2 x≠1
2x+11≥0
2x≥11/2
x≥½

1/x+1/x+1=x²-2/x²+1
(x+1)/x(x+1)+x/x(x+1)=x²-2/x(x+1)
x+1+x-x²-2/x(x+1)=0
b²-4ac
2²-4*(-10*(-1)=0
x₀=-b/2a
-2/2*(-1)=1