Question

(2+3x) totul la patrat +4=(3x-4)(3x+4)

urgent​

Answer 1

${(2 + 3x)}^{2} + 4 = (3x - 4)(3x + 4)$

$4 + 12x + 9 {x}^{2} + 4 = 9 {x}^{2} - 16$

$8 + 12x + {9x}^{2} = 9 {x}^{2} - 16$

$8 + 12x = - 16$

$12x = - 24$

$x = - 2$

Answer 2

Răspuns:  x = - 2

Explicație pas cu pas:

( 2+3x)² + 4 = (3x-4)(3x+4)

2² + 2×2×3x + (3x)² + 4 = 9x² - 12x + 12x - 16

4 + 12x + 9x² + 4 = 9x² - 16

9x² + 12x + 8 = 9x² - 16

9x² + 12x - 9x² = - 16 - 8

12x = - 24

x = ( - 24) : 12

x = - 2