Question
If the roots of the equation 8x3−14x2+7x−1=0 are in G.P., then the roots are
Answer: Option A
:
A
Let the roots be αβ,α,αβ,β≠0
Then the product of roots is α3=−−18=18
⇒α=12 and henceβ = 12
(Since, sum of roots =αβ+α+αβ=14/8),
so roots are 1,12,14
Alternatemethod: By inspecting through options, we get the numbers1,12,14 satisfying the given equation.
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:
A
Let the roots be αβ,α,αβ,β≠0
Then the product of roots is α3=−−18=18
⇒α=12 and henceβ = 12
(Since, sum of roots =αβ+α+αβ=14/8),
so roots are 1,12,14
Alternatemethod: By inspecting through options, we get the numbers1,12,14 satisfying the given equation.
Was this answer helpful ?
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