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zubashewskayae
@zubashewskayae
July 2022
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Решить уравнение х+1/х=10+1/10. В ответ записать сумму корней
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MizoriesKun
х+1/х=10+1/10
(х
²+1)/х=(100+1)/10
10*(х²+1)=х*101
10х²-101х+10=0
D=10201 -400=9801 √D=99
x₁=(101+99)/20=10
x₂=(101-99)/20=0,1
∑=x₁+x₂ =10+0,1=10,1
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Answers & Comments
(х²+1)/х=(100+1)/10
10*(х²+1)=х*101
10х²-101х+10=0
D=10201 -400=9801 √D=99
x₁=(101+99)/20=10
x₂=(101-99)/20=0,1
∑=x₁+x₂ =10+0,1=10,1