There is a point P (m, n) on the image of the inverse scale function y = K / * (k not = 0), whose coordinates are the two roots of the quadratic equation t square-3t + k = 0 with respect to t The distance from the point P to the origin is the root 13, so the analytic expression of the inverse scale function is the process of writing out the solution

There is a point P (m, n) on the image of the inverse scale function y = K / * (k not = 0), whose coordinates are the two roots of the quadratic equation t square-3t + k = 0 with respect to t The distance from the point P to the origin is the root 13, so the analytic expression of the inverse scale function is the process of writing out the solution

∵ m, n are the two roots of the univariate quadratic equation T ^ 2-3T + k = 0 about t ∵ m + n = - (- 3) / 1 = 3MN = K / 1 = k ∵ the distance from the point P to the origin is the root sign 13 ∵ m ^ 2 (m ^ 2 + n ^ 2) = √ 13m ^ 2 + n ^ 2 = 13 ∵ m ^ 2 + n ^ 2 = (M + n) ^ 2-2mn = 3 ^ 2-2k = 9-2k = 13K = - 2 ∵ the analytic expression of the inverse proportional function is y = -