Respuesta :

fieryanswererft

Answer:

[tex]x= 21, \ -3[/tex]

Step-by-step explanation:

[tex]|x - 9|= 12[/tex]

square both sides:

[tex](x-9)^2 = 12^2[/tex]

simplify:

[tex]x^2 -18x + 81 = 144[/tex]

[tex]x^2 -18x + 81 -144= 0[/tex]

[tex]x^2 -18x -63= 0[/tex]

take middle term:

[tex]x^2 -21x + 3x -63=0[/tex]

take common terms:

[tex]x(x -21) + 3(x -21)=0[/tex]

[tex](x+3)(x-21)=0[/tex]

solutions:

[tex]x= 21, \ -3[/tex]

Esther

Answer:

x = 21

x = -3

Step-by-step explanation:

|x – 9|= 12

x - 9 = 12 and x - 9 = -12

x - 9 = 12

  +9  +9

x = 21

x - 9 = -12

  +9     +9

x = -3

Hope this helps!

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