Question

Calcule
(1/4 - x/6) com expoente 2

Answer 1

(1/4 - x/6)²

(1/4)² - 2(1/4)(x/6) + (x/6)²

1/16 - 2x/24 + x²/36

1/16 - x/12 + x²/36 = 0 (mmc = 144)

9 - 12x + 4x² = 0

4x² - 12x + 9 = 0

Δ = (-12)² - 4(4)(9)
Δ = 144 - 144 = 0
√Δ =0 

x' = x'' = (12)/2.4 = 12/8 = 3/2

Resposta: x = 3/2

Espero ter ajudado.

Answer 2

Lembre-se: (a-b)² = a² - 2ab + b² 

(1/4 - x/6)² =        

(1/4)² - 2.(1/4).(x/6) + (x/6)² = 
1/16 - 2x/24 + x²/36 = 
1/16 - x/12 + x²/36 =       ou 
x²/36 - x/12 + 1/16