33. What is the sum of the roots of the function : y= 2x2 + 2x - 24?
A)-1
B) 1
C) 12
D -12
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Step-by-step explanation:
ANSWER
((α+2β)1+(β+2α)1)=(α+2β)(β+2α)β+2α+2β+α
=αβ+2β2+2α2+4αβ3(α+β)=5αβ+2(α2+β2)3(α+β)
=5αβ+2((α+β)2−2αβ)3(α+β)=2(α+β)2+αβ3(α+β) →(I)
Since α,β are the roots of 2x2−4x+1=0,
Sum of the roots =α+β=−ab=−(−4)/2=2 →(II)
Product of the roots =αβ=ac=1/2 →(III)
Substituting (II),(II
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