Intro to Quadratic Equations

The degree of the quadratic equation is....

$$for\ an\ equation:\ ax^2+\ bx+c=\ 0\ the\ two\ roots\ are\ \alpha\ and\ \beta.\ Then\ \alpha+\beta=.....$$

$$for\ an\ equation:\ ax^2+\ bx+c=\ 0\ the\ two\ roots\ are\ \alpha\ and\ \beta.\ Then\ \alpha\beta=.....$$

If one of the roots of a quadratic equation is $$3+\sqrt[]{3}$$ , then the other root is,,,,,,

$$\alpha^2+\beta^2=?$$

If one of the roots of a quadratic equation is $$\sqrt[]{7}i-3$$ , then the other root is,,,,,,

$$If\ \alpha\ and\ \beta\ are\ the\ roots\ of\ the\ quadratic\ equation.\ Then,\ the\ equation\ is.....$$