If a and ß are the zeroes of the
bollowing Polynomial f(c), such
that a- B = 1, than find the value
of a
f (x)

1 thought on “If a and ß are the zeroes of the<br />bollowing Polynomial f(c), such<br />that a- B = 1, than find the value<br />of a<br />f (x)”

1. We have,

   f(x)=x2−p(x+1)−c=0

   f(x)=x2−px−(p+c)=0

   Since,

   α,β are the zeroes of the above polynomial.

   So,

   α+β=p

   αβ=−(p+c)

   Since,

   (α+1)(β+1)=0

   αβ+α+β+1=0

   −p−c+p+1=0

   −c+1=0

   c=1

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