Prove that the roots of x2+bx+c=0x^2 + bx + c = 0x2+bx+c=0 are reciprocals if and only if c=1c = 1c=1.
Cannot be proven
This is never true
If roots are rrr and 1/r1/r1/r, then by Vieta's formulas, r⋅(1/r)=1=cr \cdot (1/r) = 1 = cr⋅(1/r)=1=c
This is only true for monic polynomials