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To know the nature of roots, we need to find the discriminant of the equation.
The discriminant for this equation is $$(-7)^2$$-4(2)(2), which is 49-16= 35.
Now, the discriminant is greater than zero, which means that the roots will be real and distinct. However, $$\sqrt{35\ }$$ is an irrational number, and hence the roots shall be real, unique, and irrational.
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