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a) x²-2x-8≥0
b) -x²+3x-2<0
Δ=(-2)²-4*1*(-8)=4+32=36
√Δ=6
x₁=(2+6)/2=9/2=4
x₂=(2-6)/2=-4/2=-2
x∈(-∞;-2> ∨ <4;∞)
Δ=3²-4*(-1)*(-2)=9-8=1
√Δ=1
x₁=(-3+1)/-2=-2/-2=1
x₂=(-3-1)/-2=-4/-2=2
x∈{-∞;1) ∨ (2;∞)
a)
x²-2x-8≥0
a=1 b=-2 c=-8
Δ= b²-4ac
Δ=(-2)²-4*1-(-8)
Δ= 4+32=36
√Δ=√36=6
x₁=2-6/2=-4/2=-2
x₂=2+6/2=8/2=4
x∈(-∞,-2>∨<4,+∞)
b)
-x²+3x-2<0
a=-1 b=3 c=-2
Δ=b²-4ac
Δ=3²-4*(-1)*(-2)
Δ=9-8=1
x₁=-3-1/-2=2
x₂=-3+1/-2=1
x∈(-∞,1)∨(2,+∞)
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a) x²-2x-8≥0
Δ=(-2)²-4*1*(-8)=4+32=36
√Δ=6
x₁=(2+6)/2=9/2=4
x₂=(2-6)/2=-4/2=-2
x∈(-∞;-2> ∨ <4;∞)
b) -x²+3x-2<0
Δ=3²-4*(-1)*(-2)=9-8=1
√Δ=1
x₁=(-3+1)/-2=-2/-2=1
x₂=(-3-1)/-2=-4/-2=2
x∈{-∞;1) ∨ (2;∞)
a)
x²-2x-8≥0
a=1 b=-2 c=-8
Δ= b²-4ac
Δ=(-2)²-4*1-(-8)
Δ= 4+32=36
√Δ=√36=6
x₁=2-6/2=-4/2=-2
x₂=2+6/2=8/2=4
x∈(-∞,-2>∨<4,+∞)
b)
-x²+3x-2<0
a=-1 b=3 c=-2
Δ=b²-4ac
Δ=3²-4*(-1)*(-2)
Δ=9-8=1
√Δ=1
x₁=-3-1/-2=2
x₂=-3+1/-2=1
x∈(-∞,1)∨(2,+∞)