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If roots of x^(4) + qx^(2) + kx + 225 = ...

If roots of `x^(4) + qx^(2) + kx + 225 = 0` are in A.P., then value of q is :- `(q in I)` :

A

15

B

25

C

-35

D

-50

Text Solution

Verified by Experts

The correct Answer is:
D
Let roots are `a-3d, a-d, a+d, a+3d`
So sum of roots `4a = 0 implies a = 0`
& roots are `-3d , -d , d, 3d`
Now product of roots = `9d^(4) = 225`
`implies d^(2) = 5`
& product taken two at a time is `-10 d^(2)`
`implies q = -50`.
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