Question

Resolva as equação (x² - 4)(x² - 3x - 2) = (3x + 5)(x² - 4).

Answer 1

(x² - 4)(x² - 3x - 2) = (3x + 5)(x² - 4) =

(x² - 4)(x² - 3x - 2) – ( 3x + 5 ) . ( x² – 4 ) = 0 =

( x² – 4 ) . ( x² – 3x – 2 – ( 3x + 5 )) = 0 =

( x² – 4 ) . ( x² – 3x – 2 – 3x – 5 ) = 0 =

( x² – 4 ) . ( x² – 6x – 2 – 5) = 0 =

( x² – 4 ) . ( x² – 6x – 7 ) = 0 =

x² – 4 = 0

x² – 6x – 7 = 0 =

x = –2

x = 2

x² – 6x – 7 = 0

x = –2

x = 2

x = –1

x = 7

x¹ = –2, x² = –1, x³ = 2, x⁴ = 7