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- The answer is
: : m = n = 2 = hence proved
Step-by-step explanation:
Let f = ( x ) = nx2 -5x + m
x - 2 and x - 1/2 are factors of f ( x ) then x = 2
and x = 1 are roots of
____
2
equation f ( x )
Now , we know =
product of roots = m = ( 2 ) ×( 1 )
___ ( 2 )
n
:: m = 1
___
n
:: m = n
and
sum of roots = - ( - 5 ) = 2 + 1 = 5
___ ___
2 2
:: 5 = 5 :: n = 2
__ __
n 2
:: m = 2 = hence proved
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