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If the roots of the equation $$x^{2}-px+54=0$$ are in the ratio 2 : 3 , then value of p is:
Let the roots of the equation be 2k and 3k.
Product of roots $$=2k\times3k$$
$$6k^2=54$$
$$k=\pm3$$
Sum of roots $$=2k+3k$$
$$5k=p$$
$$p=5\times \pm3$$
$$p=\pm15$$
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