Respuesta:
x₁ = 4 ; x₂ = 2/3
Explicación paso a paso:
( 2x - 1) ² - ( x + 3) ² = 4 ( x - 4)
4x² - 4x + 1 - (x² + 6x + 9) = 4x - 16
4x² - 4x + 1 - x² - 6x - 9 = 4x - 16
3x² - 10x - 8 - 4x + 16 = 0
3x² - 14x + 8 = 0
3x² - 14x (3x) + 8 (3) =0
3x² - 14 x + 24 = 0
(3x - 12 ) ( 3x - 2 )
---------------------------------- = 0
3
(x - 4 ) ( 3x - 2 ) = 0
x₁ = 4 ; x₂ = 2/3