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Question

Solve x37x2+14x8=0, given that the roots are in geometric progression.

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Solution

Put x=1
17+148=0
So x1 is a factor of given equation
Dividing given equation by (x1) we get
x26x+8
So the given equation is
(x1)(x26x+8)=0
(x1)(x2)(x4)=0
x=1,2,4


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