If a and b are tha zeroes or the polynomials F (x) =x2 -4x-5 then find the value of a2 + b2
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Answer:
p(x)=x
2
−8x+k
a=1,b=−8,c=k
α+β=
a
−b
=8, αβ=
a
c
=k, α
2
+β
2
=40
α
2
+β
2
=(α+β)
2
−2αβ
40=8
2
−2k
2k=24
k=12
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