rozwiąż równania i nierówności : a) 4x² -5x=0 b) -2x² + 4x - 2 < 0 c) -x² + 7x + 8 ≥ 0
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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a) 4x² -5x=0
4x(x-5/4)=0
xe{0;5/4}
b) -2x² + 4x - 2 < 0
2x²-4x+2>0
x²-2x+1>0
(x-1)²>0
xeR-{1)
c) -x² + 7x + 8 ≥ 0
x²-7x-8≤0
(x-8)(x+1)≤0
xe<-1;8>