Question 1209189
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Vieta's theorem says that for this quadratic equation the sum of the roots is  
the coefficient at y, divided by the coefficient at y^2 and taken with the opposite sign

    the sum of the roots = - {{{(-10)/2}}} = 5.


This theorem also says that the product of the roots is the constant term, 
divided by the coefficient at y^2

    the product of the roots = {{{7/2}}}.
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So, you have the complete solution with explanations.