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Question

If the roots of the equation 8x314x2+7x1=0 are in G.P., then the roots are


A

1, 12, 14

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B

2, 4, 8

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C

3, 6, 12

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D

1,2,-4

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Solution

The correct option is A

1, 12, 14


Let the roots be αβ,α,αβ,β0
Then the product of roots is α3=18=18
α=12 and hence β = 12
(Since, sum of roots =αβ+α+αβ=14/8),
so roots are 1,12, 14

Alternate method: By inspecting through options, we get the numbers 1,12, 14 satisfying the given equation.


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