Find all solutions to 0.
\[\frac {14t}{t^2 + 10} = 2.\]Enter all the solutions, separated by commas.
1.
Let $a$ and $b$ be the solutions to $5x^2 - 11x + 4 = 0.$ Find
\[\frac{1}{a} + \frac{1}{b}.\]
2.
Let $u$ and $v$ be the solutions to $3x^2 + 5x + 7 = 0.$ Find
\[\frac{u}{v} + \frac{v}{u}.\]
3.
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).
4.
The roots of
\[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of
\[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$
5.
The real numbers $x$ and $y$ are such that
\begin{align*}
x + y &= 4, \\
x^2 + y^2 &= 22, \\
x^4 &= y^4 - 176 \sqrt{7}.
\end{align*}Compute $x - y.$

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