Show that the equation 2x^2 - 5x + 2 = 0 has roots that are reciprocals of each other. Under what conditions will a quadratic equation in the form ax ^2 +bx + c = 0 have roots that are reciprocals of each other?

Answer 1

factor out 2 above:

2(x^2-2.5x +1)=0

Now, how does to values of x multiplied become 1 ?