n(n-1) =210then find the value of n
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Hi ,
n ( n - 1 ) = 210
n ( n - 1 ) = 15 × 14
n ( n - 1 ) = 15 ( 15 - 1 )
Compare both sides ,
we conclude that ,
n = 15
or
n ( n - 1 ) = ( -14 ) [ - 14 - 1 ]
n = -14
Therefore ,
n = 15 or - 14
second method :
n ( n - 1 ) = 210
n² - n - 210 = 0
n² - 15n + 14n - 210 = 0
n ( n - 15 ) + 14( n - 15 ) = 0
( n - 15 ) ( n + 14 ) = 0
n - 15 = 0 or n + 14 = 0
n = 15 or n = - 14
I hope this helps you.
:)
n ( n - 1 ) = 210
n ( n - 1 ) = 15 × 14
n ( n - 1 ) = 15 ( 15 - 1 )
Compare both sides ,
we conclude that ,
n = 15
or
n ( n - 1 ) = ( -14 ) [ - 14 - 1 ]
n = -14
Therefore ,
n = 15 or - 14
second method :
n ( n - 1 ) = 210
n² - n - 210 = 0
n² - 15n + 14n - 210 = 0
n ( n - 15 ) + 14( n - 15 ) = 0
( n - 15 ) ( n + 14 ) = 0
n - 15 = 0 or n + 14 = 0
n = 15 or n = - 14
I hope this helps you.
:)
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