✔ответ ✔
●: 6. Решите уравнение.
( 4k + 3 )! = 11 * ( 4k + 2 )!
( 4k + 3 )! - 11 * ( 4k + 2 )! = 0
( 4k + 3 ) * ( 4k + 2 )! - 11 * ( 4k + 2 )! = 0
( 4k + 2 )! * ( 4k + 3 - 11 ) = 0
( 4k + 2 )! * ( 4k - 8 ) = 0
( 4k + 2 )! = 0
4k - 8 = 0
k ∈ ∅
k = 2
( 4 * 2 + 3 )! = 11 * ( 4 * 2 + 2 )!
39916800 = 39916800
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✔ответ ✔
●: 6. Решите уравнение.
( 4k + 3 )! = 11 * ( 4k + 2 )!
( 4k + 3 )! - 11 * ( 4k + 2 )! = 0
( 4k + 3 ) * ( 4k + 2 )! - 11 * ( 4k + 2 )! = 0
( 4k + 2 )! * ( 4k + 3 - 11 ) = 0
( 4k + 2 )! * ( 4k - 8 ) = 0
( 4k + 2 )! = 0
4k - 8 = 0
k ∈ ∅
k = 2
( 4 * 2 + 3 )! = 11 * ( 4 * 2 + 2 )!
39916800 = 39916800
k = 2