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cheryomuxin10
@cheryomuxin10
July 2022
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-5x^2+4x+1>0 решить неравенство
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русская25
-5x²+4x+1>0 |*(-1),
5x²-4x-1<0,
[5x²-4x-1=0,
D= 16+4*5*1=16+20=36,
x₁= (4+6)/10=1,
x₂= (4-6)/10= -2/10=-0,2].
5(x-1)(x+0,2)<0,
Ответ: (-0,2;1).
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Answers & Comments
5x²-4x-1<0,
[5x²-4x-1=0,
D= 16+4*5*1=16+20=36,
x₁= (4+6)/10=1,
x₂= (4-6)/10= -2/10=-0,2].
5(x-1)(x+0,2)<0,
Ответ: (-0,2;1).