Question

resolva, em Z:
3(2x-1)-(2x×1)(2x-1)=2x+1

Answer 1

Z: 3(2x-1)² -(2x+1).(2x-1)=2x+1

3(4x² - 4x + 1)  - (4x² - 2x + 2x  - 1) = 2x + 1

3(4x² - 4x + 1) - (4x² - 1) = 2x + 1

12x² - 12x + 3 - 4x² + 1 = 2x + 1

12x² - 4x² - 12x - 2x + 3 + 1 - 1 = 0

8x² - 14x + 3 = 0

Δ = (-14)² - 4(8)(3) 

Δ = 196 - 96 = 100

√Δ = √100 = 10

x' = (14 + 10)/2.8 = 24/16 = 3/2

x'' = (14 - 10)/2.8 = 4/16 = 1/4

Espero ter ajudado.