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Question

lf α, β, γ are the roots of x37x2+14x8=0, then the value of 1α4+1β4+1γ4=

A
273256
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B
273256
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C
264273
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D
264273
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Solution

The correct option is A 273256
As x=1 is one of the roots .
Other two roots are 2 and 4 .
1α4+1β4+1γ4=1+124+144=273256

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