Respuesta :

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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