A) \[-3,5,7\]
B) \[-3,-7,-9\]
C) \[3,-5,7\]
D) \[-3,7,9\]
Correct Answer: D
Solution :
Let roots of the equation \[{{x}^{3}}-13{{x}^{2}}+15x+189=0\]are \[\alpha ,\alpha +2\]and \[\beta \] \[\therefore \] \[\alpha +\alpha +2+\beta =13\] ?(i) \[\alpha (\alpha +2)+(\alpha +2)\beta +\alpha \beta =15\] ?(ii) and \[\alpha (\alpha +2)\beta =-189\] ?(iii) These three equations are satisfied by the option (d).
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