Question

Solve the equation 3 x 4 - 40 x 3 + 130 x 2 - 120 x + 27 = 0 given that the roots are in G.P.

Answer 1

Answer:

x

3

−7x

2

+14x−8=0

\begin{gathered} \frac{a}{r} \: \: \: a \: \: \: \: \: ar \: \: \: \: \\ be \: the \: roots\end{gathered}

r

a

aar

betheroots

\frac{a}{r} \times a \times ar = \frac{ -( - 8)}{1}

r

a

×a×ar=

1

−(−8)

{a}^{3} = 8a

3

=8

a=2

2 is a root