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yarairmed
@yarairmed
August 2022
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Решите иррациональное уравнение
x+√x=53
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tlq
x+√x=53
√х=53-х
х=2809-106х+х²
х-2809-106х+х²
х-2809+106х-х²=0
107х-2809-х²=0
-х²-107х+2809=0
х=-(-107)+√(-107)²-4*1*2809/2*1
х=107+-√11449-11236/2
x=107+-√213/2
x=107+√213/2
x=107-√213/2
107+√213/2+√107+√213/2=53
107-√213/2+√107-√213/2=53
68.59452=53
53=53
x≠107+√213/2
x=107-√213/2 или ≈46,20
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Answers & Comments
√х=53-х
х=2809-106х+х²
х-2809-106х+х²
х-2809+106х-х²=0
107х-2809-х²=0
-х²-107х+2809=0
х=-(-107)+√(-107)²-4*1*2809/2*1
х=107+-√11449-11236/2
x=107+-√213/2
x=107+√213/2
x=107-√213/2
107+√213/2+√107+√213/2=53
107-√213/2+√107-√213/2=53
68.59452=53
53=53
x≠107+√213/2
x=107-√213/2 или ≈46,20