A mathematical problem about parabola Given that the parabola y = AX2 + BX + C passes through the intersection of the straight line y = 3x-4 and the hyperbola y = 4 / x, and the parabola passes through the origin, the analytic solution of the parabola is obtained We already know that the answer is y = - 3x2 + 7x, which means that X2 is the square of X

A mathematical problem about parabola Given that the parabola y = AX2 + BX + C passes through the intersection of the straight line y = 3x-4 and the hyperbola y = 4 / x, and the parabola passes through the origin, the analytic solution of the parabola is obtained We already know that the answer is y = - 3x2 + 7x, which means that X2 is the square of X

First of all, the parabola passes through the origin (0,0) with (0,0) point into the parabola equation, we can know that the simultaneous equation y = 3x-4 {y = 4 / X -- (1) has the solution x = - 2 / 3 {y = - 6, x = 2 {y = 2) since a (- 2 / 3, - 6) B (2,2) is the two intersection points of the equation system (1) and these two intersection points pass through the parabola