Rozwiąż nierównośći:
(x – 3)2 < x(x – 2) – x
(3 – x)2 > 2 – x(6 – x)
Plis daje naj:d
1) 2x-6<x²-2x-x
2x-6<x²-3x
-6<x²-5x
x²-5x+6>0
Δ=25-24=1
√Δ=1
x=4/2=2
x=6/2=3
1. 2x-6< x-2x-x
2x-x+2x+x<6
6x<6 /:(-6)
x<-1
2. 6- 2x> 2-6x-x
-2x+6x+x>2-6
5x>-4/:(-5)
x> cztery piąte
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1) 2x-6<x²-2x-x
2x-6<x²-3x
-6<x²-5x
x²-5x+6>0
Δ=25-24=1
√Δ=1
x=4/2=2
x=6/2=3
1. 2x-6< x-2x-x
2x-x+2x+x<6
6x<6 /:(-6)
x<-1
2. 6- 2x> 2-6x-x
-2x+6x+x>2-6
5x>-4/:(-5)
x> cztery piąte