Reciprocal solutions to quadratic equations

6x² - 13x + 6 = 0 with reciprocal solutions as x = 2 / 3 and x = 3 / 2

10x² - 29x + 10 = 0 with reciprocal solutions as x = 2 / 5 and x = 5 / 2

15x² - 34x + 15 = 0 with reciprocal solutions as x​​​​​​​ = 3 / 5 and x = 5 / 3