1)3х-4=8 2)12-2Х=-10 3)2Х+3=10 4)14Х-7=28 5)(Х-3)(15-Х)=0 6)(2Х-20)(3+3Х)=0...

Question

1)3х-4=8
2)12-2Х=-10
3)2Х+3=10
4)14Х-7=28
5)(Х-3)(15-Х)=0
6)(2Х-20)(3+3Х)=0
7)(12-3Х)(25-5Х)=0

Answer 1

1) 3x - 4 = 8
3x = 12
x = 4

2)12 - 2x = - 10
- 2x = - 22
x = 11

3)2x + 3 = 10
2x = 7
x = 3,5

4) 14x - 7 = 28
14x = 35
x = 2,5

5) (x - 3)(15 - x) = 0
15x - x² - 45 + 3x = 0
- x² + 18x - 45 = 0
x² - 18x + 45 = 0
D = b² - 4ac = 324 - 4×45 = 324 - 180 = √144= 12
x₁ = 18 + 12/2 = 15
x₂ = 18 - 12/2 = 3

6) (2x - 20)(3 + 3x) = 0
6x + 6x² - 60 - 60x = 0
6x² - 54x - 60 = 0
D = 2916 - 4×6 × ( - 60) = 2916 + 1440 = 4356
x₁ = 54 + 66/ 12 = 10
x₂ = 54 - 66/12 = - 1

7)( 12 - 3x)(25 - 5x) =0
300 -  60x - 75x + 15x² = 0
15x² - 135x + 300 = 0
D = 18225 - 4 × 15 × 300 = 18225 - 18000 = √225 = 15
x₁ = 135 + 15/30 = 5
x₂ = 135 - 15/30 = 4