Prove that if one solution of a quadratic equation of the form x^2+bx+c=0 is rational(where b and c are rational) then the other solution is also rational. Use the fact that if the solutions of the equation are r and s, then
x^2+bx+c = (x-r)(x-s)
Prove that if one solution of a quadratic equation of the form x^2+bx+c=0 is rational(where b and c are rational) then the other solution is also rational. Use the fact that if the solutions of the equation are r and s, then
x^2+bx+c = (x-r)(x-s)