Q.

If the roots of the equation 8x3−14x2+7x−1=0are in GP, then the roots are

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a

1,12,14

b

2,4,8

c

3, 6 , 12

d

None of these

answer is A.

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Detailed Solution

Since, the roots of the equation 8x3−14x2+7x−1=0are in GP. Let the roots αβ,α,αβ,β≠0. Then, the product of roots is α3=18⇒α=12 and hence, β=12So, roots are 1,12,14
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