Solve the equation x4-8x3+14x2-8x-15=0 if the roots are in A.P
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Answer:
Correct option is
B
−1,1,3,5
As roots are in A.P then let (a−3d),(a−d),(a+d),(a+3d) be the roots of x
4
−8x
3
+14x
2
+8x−15=0
s
1
=8⇒a=2
s
4
=−15⇒(a
2
−d
2
)(a
2
−9d
2
)=15
⇒(4
2
−d
2
)(4
2
−9d
2
)=−15⇒d
2
=
2
31
,1
⇒d=±
2
31
,±1
For d=±1
A.P is −1,+1,3,5
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