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svetka1574
@svetka1574
July 2022
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Решить камбинаторное уравнение
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армения20171
Verified answer
(A(x)(7)-A(x)5)/A(x)(5)=89
A(x)(7)/A(x)(5)=90
x(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)/
(x(x-1)(x-2)(x-3)(x-4)
=90
(x-5)(x-6)=90
x²-11x+30-90=0
x²-11x-60=0
D=121+240=361=19²
x=(11±19)/2
x1=30/2=15;x2=-4
oTBeT x=15
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Answers & Comments
Verified answer
(A(x)(7)-A(x)5)/A(x)(5)=89A(x)(7)/A(x)(5)=90
x(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)/
(x(x-1)(x-2)(x-3)(x-4)
=90
(x-5)(x-6)=90
x²-11x+30-90=0
x²-11x-60=0
D=121+240=361=19²
x=(11±19)/2
x1=30/2=15;x2=-4
oTBeT x=15