It is known that the coefficients a, B and C of quadratic function y = ax ^ + BX + C are integers, and when x = 19 or x = 99, y = 1999, | C|

It is known that the coefficients a, B and C of quadratic function y = ax ^ + BX + C are integers, and when x = 19 or x = 99, y = 1999, | C|

Y = ax ^ + BX + C when x = 19 or x = 99, y = 1999, then it must be y = a (x + B / 2a) ^ + dB / 2A = - 59. Think about the graph of quadratic function, is the value in the middle of 19 and 99 59? So the axis of symmetry is x = 59