Question

x²+6x+9=

Alguém??? porgavor​

Answer 1

Explicação passo-a-passo:

$\sf x^2+6x+9=0$

$\sf \Delta=6^2-4\cdot1\cdot9$

$\sf \Delta=36-36$

$\sf \Delta=0$

$\sf x=\dfrac{-6\pm\sqrt{0}}{2\cdot1}=\dfrac{-6\pm0}{2}$

$\sf x'=x"=\dfrac{-6}{2}$

$\sf \red{x'=x"=-3}$

Se for só pra fatorar:

x² + 6x + 9

= x² + 3x + 3x + 9

= x.(x + 3) + 3.(x + 3)

= (x + 3).(x + 3)

= (x + 3)²