The roots of a quadratic equation with rational coefficients

The roots of a quadratic equation with rational coefficients are p±√q.Write the equation in standard from in terms of p and
Adrien said that if the roof of a quadratic equation are 12 and 34 ,the equation is 4x^2 -5x +32 =0.Olivia said that the equation is 8x^2 -10x +3=0 .Who is correct?Justify your answer.