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Assassin1486
@Assassin1486
March 2022
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Решите неравенство:
1) (x-4) (x+5)>0
2) (x-3)(x-8)≤0
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keized
1)(x-4)(x+5)>0
x²-4x+5x-20>0
x²+x-20>0
D=1-4*(-20)=1+80=81=9²
x₁=(-1-9)/2=-10/2=-5
x₂=(-1+9)/2=8/2=4
ответ (-5:4)
(x-3)(x-8)≤0
x²-3x-8x+24≤0
x²-11x+24≤0
D=(-11)²-4*24=121-72=49=7²
x=(11-7)/2=4/2=2
x=(11+7)/2=18/2=9
Ответ [2:9]
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Answers & Comments
x²-4x+5x-20>0
x²+x-20>0
D=1-4*(-20)=1+80=81=9²
x₁=(-1-9)/2=-10/2=-5
x₂=(-1+9)/2=8/2=4
ответ (-5:4)
(x-3)(x-8)≤0
x²-3x-8x+24≤0
x²-11x+24≤0
D=(-11)²-4*24=121-72=49=7²
x=(11-7)/2=4/2=2
x=(11+7)/2=18/2=9
Ответ [2:9]