F.4 Quadratic Equation

1. It is given that 0.416666.... is a root of the q.equation 60x^2 -x+k=0
a) Find the value of k.
b) Hence, find the other root of the equation.

2. Given that 'r' is a root of the q.e. x^2 -3x - 5=0
Find the value of r^5 - 3r^4 - 5r^3 + 2r^2 - 6r.

3. It is given that k is a root of the q.e. x^2 +x +c =0
a) Express c in terms of k.
b) find the other root of the equation in (a).