Q. 144.0( 23 Votes )

If α and &b

Answer :

Given:α and β are the zeros of the quadratic polynomial

To show: ..... (1)

solution:

one root of the given quadratic polynomial is


Other root of the given quadratic polynomial is β


f(x) = x2 - p(x+1) - c

f(x) =  x2 - px - p - c

f(x) = x2 - px - (p + c)


Sum of the roots is:





Product of coefficient is:






Solve LHS of (1) to get,

+1


 On substituting values, we get


 = -(p+c) + p + 1


 = 

⇒  =

Hence proved

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