67x²-105x+38=0
x1+x2= 105/67
x1*x2= 38/67
x1=105/67-x2
(105/67-x2)*x2=38/67
((105-67x2)/67)*x2=38/67 I*67
105x2-67x2²=38
67x2²-105x2+38=0
D= 11025- 10184= 841
(x2)1= (105-29)/134= 76/134= 38/67
(x2)2= (105+29)/134= 1
Проверяем:
(x1)1= 105/67-38/67= 1
(x1)2= 105/67-1 = 38/67
Корни: 1 и 38/67