log(x) (3x^2 - 4x - 6) = 2
ОДЗ x>0 x≠ 1
3x^2 - 4x - 6 > 0
D=16 + 4*3*6 = 88
x12=(4 +- 2√22)/6 = (2 +- √22)/3
x∈(-∞ (2-√22)/3) U ( (2 +√22)/3 +∞)
(2 +√22)/3 ≈ 2.23
общее x∈( (2 +√22)/3 +∞)
x^2 = 3x^2 - 4x - 6
2x^2 - 4x - 6 = 0
x^2 - 2x - 3 = 0
D = 4 + 12 = 16
x12=(2 +- 4)/2 = - 1 3
x1=-1 не подходит
х2 = 3 да корень
log(3) (3*9 - 4*3 - 6 ) = log(3) (27 - 18) = 2
log(x) (3x^2 - 4x - 6) = 2
ОДЗ x>0 x≠ 1
3x^2 - 4x - 6 > 0
D=16 + 4*3*6 = 88
x12=(4 +- 2√22)/6 = (2 +- √22)/3
x∈(-∞ (2-√22)/3) U ( (2 +√22)/3 +∞)
(2 +√22)/3 ≈ 2.23
общее x∈( (2 +√22)/3 +∞)
x^2 = 3x^2 - 4x - 6
2x^2 - 4x - 6 = 0
x^2 - 2x - 3 = 0
D = 4 + 12 = 16
x12=(2 +- 4)/2 = - 1 3
x1=-1 не подходит
х2 = 3 да корень
log(3) (3*9 - 4*3 - 6 ) = log(3) (27 - 18) = 2