Question

Produtos Notáveis

Efetue e Simplifique.

e) (x+3)^2 - 24 = (x-3)^2 =

f) x (x+5) = (x+1)^2 + 26 =

g) 4 (x+2)^2 = (2x-3)^2 =

Answer 1

e) (x + 3)² - 24 = (x - 3 )²
x² + 6x + 9 - 24 = x² - 6x + 9
x² - x² + 6x + 6x +9 - 9 -24 = 0
12x - 24 = 0
x = 24/12
x = 2

f) x (x+5) = (x+1)² + 26
x² + 5x = x² + 2x + 1 + 26
x² - x² + 5x - 2x - 27
3x - 27
x = 27/3 
x = 9

g) 4 (x + 2)² = (2x -3)²
4 . ( x² + 4x + 4) = 4x² - 12x + 9
4x² -4x² + 16x + 12x + 16 - 9 = 0
28x + 7 = 0
x = -7/28
x = -1/4