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Question

If α and β are zeros of the polynomial 2x24x+5, find the values of:
1α2+1β2

A
4
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B
425
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C
25
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D
None of these
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Solution

The correct option is A 425

(1α)+(1β)=(β2+α2α2β2)=((α+β)22αβα2β2)=((42)22((52))(52)2)=(45(254))=(425)


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