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6 and 6
Step-by-step explanation:
13. log₀.₅(8)= -log₂(8)= -3
-3 is a root of x²+x-k=0
(-3)²+(-3)-k=0
9-3-k=0
k=6
14. by vieta theorem
α+β=-5
αβ=k
given α²β+αβ²=-30
αβ(α+β)=-30
k(-5)=-30
k=6
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