October 2018 1 21 Report

rozwiąż równania i nierówności : a) 4x² -5x=0 b) -2x² + 4x - 2 < 0 c) -x² + 7x + 8 ≥ 0


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a)

4x²-5x=0

x(4x-5)=0

x=0 v x=5/4

x={0,5/4}

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b)

-2x² + 4x - 2 < 0

Δ=16-16=0

x=-b/2a=-4/-4=1

xeR/{1}

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c) 

-x² + 7x + 8 ≥ 0

Δ=49+32=81

√Δ=9

x1=(-7+9)/-2=-1

x2=(-7-9)/-2=8

xe<-1;8>



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