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12082007gevor2552
@12082007gevor2552
July 2022
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320/x+2+320/x-2=36
Решите через дискриминант !
Понятно вывести не забудьте)
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Schoolassistant
320/x+2+320/x-2=36;Общий знаменатель=(х+2)(х-2)≠0;x≠+/-2;320(х-2)+320(х+2)=36(х+2)(х-2);320х-640+320х+640=36(х²-4);640х=36х²-144;640х-36х²+144=0;-36х²+640х+144=0. /-4;9х²-160-36=0.а=9;k=-80;c=-36.D=k²-ac=80²-9*(-36)=6400+324=6724>0-2 к.х₁=-k+√D/a=80+√6724/9=80+82/9=162/9=18.x₂=80-82/9=-2/9.Ответ:х₁=18;х₂=-2/9
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