Easy

Problems using Vieta's formulas: Problems with Solutions

Problem 1
One of the solutions to the equation [tex]x^2-54x+104=0[/tex] is 2. Find the other root using Vieta's formulas.
Problem 2 sent by Abhinav Raj
If $\alpha$ and $\beta$ are the roots of the equation: $x^2 – 10x + 5 = 0$, then find the value of $\frac{\alpha^2 + \beta^2}{\alpha^2β + \alpha\beta^2}$
Easy
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