if alpha and beta are the zeroes of 1x^2 - 1x -4 . find 1/alpha+ 1/beta - alpha* beta
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Given ∝andβ are the roots of
the quad ration equation
f(x)=x
2
−p(A+1)−c
=x
2
−px−(p+c)
Comparing with ax
2
+bx+c, we have
a=1b=−pc=−(p+c)
∝+β=
a
−b
=−
1
(−p)
∝β=
a
c
=−(p+c)
∵(∝+1)(β+1)
=∝β+∝+β+1
=−p−c+p+1
=1−c
∵(∝+1)(β+1)=1−c
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