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If equation (cos^(-1)x)^(4)-8(cos^(-1)x)...

If equation `(cos^(-1)x)^(4)-8(cos^(-1)x)^(3) + a (cos^(-1)x)^(2)+b (cos^(-1)x)+16=0` has four positive real roots, where a, b epsilon R then `[x]` = (Where [.] G.I.F.)

A

`1`

B

`0`

C

`-1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
All th roots of given equation are equal therefore
`cos^(-1) x=2`
`therefore x = cos 2`
`[x]=[cos 2] =-1`
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