(a) Use the quadratic formula to show that the roots of the equation x2 + 3x + 1 = 0 are ....

(a) Use the quadratic formula to show that the roots of the equation x2 + 3x + 1 = 0 are .

(b) Show that .

Hint: Rationalize the denominator on the right-hand side of the equation.

(c) The result in part (b) shows that the roots of the equation x2 + 3x + 1 = 0 are reciprocals. Can you find another, much simpler way to establish this fact?