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if the sum of the coeffficients in the expansion of (α^2x^2-2αx+1)^51 vanishes, then α is equal to

if the sum of the coeffficients in the expansion of (α^2x^2-2αx+1)^51 vanishes, then α is equal to

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
For the suim of coeffficients, put x=1 which will ultimately make the expansion or the sum of various terms as the sum of coefficients.

This condition (x=1) when tested for LHS gives,
2-2α+1)51=0

So, (α-1)102=0
α=1

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