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Question

If x3k2x2+(6k+5)x5k=0 has two roots 3 and 5, then which of the following is the third root?

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is A 1

Assume α be the 3rd root.

Sum of the roots, i.e., 3+5+α=k2

Product of the roots, i.e.3×5×α=5k

So,8+α=9α2

Then,α=1 or 89

Hence the 3rd root is 1.


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