Question

EQUAÇÃO DO 2ºGRAU:
(3x-2)² = (2-x)²

urgenteeeeeee

Answer 1

(3x-2)² = (2-x)²
9x² - 12x + 4 = 4 -4x +x²
9x² - 12x = -4x +x²
8x² - 12x = -4x 
8x² - 8x = 0
x (8x - 8) =0
x = 0 ou x = 1

Answer 2

(3x - 2)² = (2 - x)²
(3x - 2) * (3x - 2) = (2 - x) * (2 - x)
9x² - 6x - 6x + 4 = 4 - 2x  - 2x + x²
9x² - x² - 6x - 6x + 2x + 2x + 4 - 4 = 0
8x² - 12x + 4x = 0
8x² - 8x = 0

a = 8; b = -8 e c = 0

Δ = b² - 4ac
      (-8)² - 4*8*0
      64 - 0
        64

x = (-b +- √Δ)/2a
       (-(-8) +- √64)2*8
        (8 +- 8)/16
       
xi = (8 + 8)/16
       16/16
           1

xii = (8 - 8)/16
         0/16
           0