1/2х+1/6х+5=х
1/2х+1/6х+5-х = 0
(3+1+30х-6х²)/6х = 0
2(2+15х-3х²)/6х=0
(2+15х-3х²)/3х=0 / * 3х
2+15х-3х²=0
3x²-15х-2=0
D = 225 - 4 *3 *(-2)= 249
x= (15±√249)/6
ответ: x= (15±√249)/6
1/2х+1/6х+5=х
1/2х+1/6х+5-х = 0
(3+1+30х-6х²)/6х = 0
2(2+15х-3х²)/6х=0
(2+15х-3х²)/3х=0 / * 3х
2+15х-3х²=0
3x²-15х-2=0
D = 225 - 4 *3 *(-2)= 249
x= (15±√249)/6
ответ: x= (15±√249)/6