A teacher wants to check his students knowledge on quadratic equation and solution of quadratic equation. He says that, The solutions of quadratic equation are the values of the unknown variable \(x\) and \(y\) which satisfies the equation. He asks some questions to his students related on solution of quadratic equation.
Based on this try to find the answer for the following:
1. Which of the following is the solution of the quadratic equation \(x^2-3x+2\)
2. If \(x=\frac{2}{3}\) is the solution of the quadratic equation \(7x^2+kx-3=0\) then find the value of \(k\)
3. If \(2\) and \(3\) are roots of the quadratic equation then the equation is
4. If \(\frac{2}{3}\) and \(-3\) are the roots of the quadratic equation \(mx^2+7x+n=0\) then the value of \(m\) and \(n\) are