Verified answer

Hola

Hallar los valores de x que verifiquen

lABl = -96

A=

( 1 -1 2)

(3 1 4)

(0 -2 5)

B=

(2 -2 3)

(x -1 4)

(2 x -2)

det(A B) = 96

det(A) det(B) = 96

calculamos

det(A) = ( (1)(1)(5) + (3)(-2)(2) + (0)(-1)(4) ) -

- ( (2)(1)(0) + (4)(-2)(1) + (5)(-1)(3) )

det(A) = ( 5 - 12 + 0 ) - ( 0 - 8 - 15 )

det(A) = -7 + 23

det(A) = 16

*********

det(A) det(B) = 96

16 * det(B) = 96

det(B) = 6

******************

det(B) = ( (2)(-1)(-2) + (x)(x)(3) + (2)(-2)(4) ) -

- ( (3)(-1)(2) + (4)(x)(2) + (-2)(-2)(x) )

det(B) = ( 4 + 3 x^2 - 16 ) -

- ( -6 + 8 x + 4 x )

det(B) = ( -12 + 3 x^2 ) - ( -6 + 12 x )

det(B) = -12 + 3 x^2 + 6 - 12 x

det(B) = 3 x^2 - 12 x - 6

Igualamos

3 x^2 - 12 x - 6 = 6

3 x^2 - 12 x - 12 = 0

x^2 - 4 x - 4 = 0

x^2 - 4 x + 4 = 8

(x - 2)^2 = 8

Dos valores

x = 2 +/- 2√(2)

x1 = 2 - 2√(2)

x2 = 2 + 2√(2)

es lo peor gracias a DIOS Ya sali del colegio o la prepa