The least positive value of 'a' for which the equation

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Question:
The least positive value of 'a' for which the equation $2 \mathrm{x}^{2}+(\mathrm{a}-10) \mathrm{x}+\frac{33}{2}=2 \mathrm{a}$ has real roots is

Solution:

The least positive value of 'a' for which the equation

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