1) (2x-1)²-9 = 0
4x²-4x+1-9 = 0
4x²-4x-8 = 0 I :4
x²-x-2 = 0
D=√1+8=√√9=3.
1+3 4
x₁ = ____ = ___ = 2.
2 2
1-3 -2
x₂ = ____ = ___ = - 1.
2 2
Ответ : - 1 ; 2.
2) 3/(x-2) - 12/(x²-4) = 1
3/(x-2) - 12/(x-2)(x+2) = 1
3x+6/(x-2)(x+2) - 12/(x-2)(x+2) = (x²-4)/(x-2)(x+2)
3x+6-12 = x²-4
3x-x²+4+6-12 = 0
-x²+3x-2 = 0 I :(-1)
x²-3x+2 = 0
D=√9-8=√1=1.
3+1 4
x₁ = ____ = ___ = 2.
2 2
3-1 2
x₂ = ____ = ___ = 1.
2 2
Ответ : 1 ; 2.
3) - ⁴/₃x = - 3²/₆
- 1¹/₃x = - 3¹/₃
x = - 3¹/₃ : (-1¹/₃)
x = - ¹⁰/₃ : (-⁴/₃)
x = - ¹⁰/₃ * (-³/₄)
x = ⁵/₂
x = 2,5
Ответ : 2,5.