Hi guys,
I have a lot of questions to ask and anyone answering doesn't need to post every answer in one long post!! TYSM
1. Let $a$ and $b$ be the solutions to $5x^2-11x+4=0$. Find $$1/a+1/b$$
2.Let $u$ and $v$ be the solutions to $3x^2+5x+7=0$. Find $$u/v+v/u$$
3.The roots of $7x^2+x-5=0$ and $a$ and $b$. Compute $(a-4)(b=4).$
4. 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.
5.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 $b$+$c$
the answer to a and b for one r {x=-(((sqrt(41)-11)/10)), x=((sqrt(41)+11)/10)}