a x 3 + b x 2 + c x + d is a cubic polynomial,
where ( a , b , c , d ) ϵ N
has real roots x 1 , x 2 , x 3
such that ,
f ( 2 ) = 1 4 0
f ( 3 ) = 2 4 0
f ( 5 ) = 5 6 0
f ( 7 ) = 1 0 8 0
Then evaluate ,
( ∑ i = 1 3 2 + x i ) + ( ∑ i = 1 3 3 + x i ) + ( ∑ i = 1 3 5 + x i )
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solve simultinious eqns by subtracting the nth line from the n+1 line and multiplying/ dividing to make elimination easiear by vietas we are looking for which is 30-30= 0