hey, ive got a few Qs here. hope someone could help me with them =)

1) The roots of the quadratic equation are $\displaystyle 2x^2 - 3x +7 = 0 $ are $\displaystyle \alpha and \beta$

i) Find the quadratic equation in X whose roots are $\displaystyle \frac{\alpha}{\beta} and \frac{\beta}{\alpha}$

I dont need the answer to this, i just wanna know what they mean by quadratic equation in X?

2) The roots of the quadratic equation $\displaystyle 2x^2 - 6c + 5 = 0$ are $\displaystyle \alpha and \beta$.

Find the quadratic equation with interger coefficients whose roots are $\displaystyle \frac{2}{\alpha} and \frac{2}{\beta}$

I dont need the answer to this, i just wanna know what they mean by quadratic equation with integer coefficients?

3) Given that $\displaystyle \alpha and \beta$ are the roots of the equation $\displaystyle x^2 - 3x = 5$, find the value of $\displaystyle \frac{1}{\alpha^2} + \frac{1}{\beta^2} $ and show that $\displaystyle \alpha^4 = 57\alpha + 70$

4) The roots of the equation $\displaystyle x^2 - \sqrt{13x} + 1 = 0$ are p and q, where p>q. Without using a calculator, express $\displaystyle \frac{p}{q}$ in the form of $\displaystyle \frac{a - \sqrt{b}}{c}$, where a,b and c are prime numbers.

5) The roots of the equation $\displaystyle x^2 + mx + n = 0$ are $\displaystyle \alpha$ and $\displaystyle \beta$, where m and n are real constants. Express the following expression in terms of m and n.

if $\displaystyle \alpha = \beta - 1$, show that $\displaystyle 4n = m^2 -1$

Really hope someone could help me. my exam is tomorrow and i really wanna know the answers by today.

Thanks in advance!!^^