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belman083
@belman083
July 2022
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решите х+2/х+7=х/х+5+1/8
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sedinalana
(x+2)/(x+7)=x/(x+5)+1/8
x≠-7;x≠-5
8(x+5)(x+2)=8(x+7)*x+(x+7)(x+5)
8x²+16x+40x+80=8x²+56x+x²+5x+7x+35
9x²+68x+35-8x²-56x-80=0
x²+12x-45=0
x1+x2=-12 U x1*x2=-45
x1=-15 U x2=3
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Answers & Comments
x≠-7;x≠-5
8(x+5)(x+2)=8(x+7)*x+(x+7)(x+5)
8x²+16x+40x+80=8x²+56x+x²+5x+7x+35
9x²+68x+35-8x²-56x-80=0
x²+12x-45=0
x1+x2=-12 U x1*x2=-45
x1=-15 U x2=3