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adamtuko
@adamtuko
August 2022
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укажите общий корень уравнений (2х-5/х+3)²-1=0 и х²-5х-24=0
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2407Alexa
(2х-5)²/(х+3)²-1=0|*(х+3)²не=0 х+3не =0х не=-3(2х-5)²-(х+3)²=0(2x-5-x-3)(2x-5+x+3)=0(x-8)(3x-2)=0x-8=0x=83x-2=03x=2|:3x=⅔х²-5х-24=0D=(-5)²-4*1*(-24)=25+96=121=11²x1=(-(-5)+11)/2*1=16/2x1=8x2=(-(-5)-11)/2=-6/2x2=-3Ответ: общий корень х=8.
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