KVPY SX SB Exam 19-Nov-2017 Question Paper

Question : 11 of 120

Marks: +1, -0

Let

x_1, x_2, ......, x_6

be the roots of the polynomial equation

x^6 + 2x^5 + 4x^4 + 8x^3 + 16x^2

+ 32x + 64 = 0.

Then

Solution:

It form an G.P.

{x^6(1-(2/x)^7)/(1-2/x)}=0

solve that

x^ 7 = 2^7

x = 2

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