Question

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

Answer 1

3 * (2x - 1)² - (2x + 1) * (2x - 1) = 2x + 1
3 * (4x² - 4x + 1) - (4x² - 2x + 2x - 1) = 2x + 1
12x² - 12x + 3 - 4x² + 1 - 2x - 1 = 0
8x² - 14x + 3 = 0

Δ = (-14)² - 4 * 8 * 3 = 196 - 96 = 100

x' = (- (-14) + √100) / 2*8 = (14 + 10) / 16 = 24 / 16 = 3 / 2
x'' = (- (-14) - √100) / 2*8 = (14 - 10) / 16 = 4 / 16 = 1 / 4