Verified answer

Решение

1)  (x+3)(x-4)=-12

x² - x - 12 = - 12

x(x - 1) = 0

x₁ = 0

x₂ = 1

Ответ: х₁ = 0 : х₂ = 1

2)  (3x-1)^2=1

3x - 1 = - 1

3x = 0

 x₁ = 0

3x - 1 = 1

 3x = 2

x₂ =  2/3 

Ответ: х₁ = 0; х₂ = 2/3

3)  (2x+3)(3x+1)=11x+30

6x² + 11x + 3 = 11x + 30

6x² = 27

x² = 9/2

x₁ = - 3√2/2

x₂ = 3√2/2

Ответ: x₁ = - 3√2/2; x₂ = 3√2/2

4)  18-(x-5)(x-4)=-2

x² - 9x + 20 = 20

x(x - 9) = 0

x₁ = 0

x₂ = 9

Ответ: x₁ = 0 ; x₂ = 9

5)  5x+(2x+1)(x-3)=0

5x + 2x² - 5x - 3 = 0

2x² - 3 = 0

2x² = 3

x² = 3/2

x₁ = - √(3/2)

x₂ = √(3/2)

6)  x^2-5=(x-5)(2x-1)

x² - 5 = 2x² - 11x + 5

x² - 11x + 10 = 0

x₁ = 1

x₂ = 10

Ответ: x₁ = 1 ; x₂ = 10