Решение
3x^2+5x+2m=0
D = 25 - 4*3*2m = 25 - 24m
x₁ = [- 5 - (25 - 24m)] / 6 = (- 30 + 24m) / 6
По условию задачи
(- 30 + 24m) / 6 = - 1
- 30 + 24m = - 6
24m = 24
m = 1
x₁ = (- 30 + 24*1) / 6
x₁ = - 1
x₂ = [- 5 + (25 - 24m)] / 6 = (20 - 24m) / 6
x₂ = (20 - 24*1) / 6
x₂ = - 4/6
x₂ = - 2/3