Respuesta :

Answer:

[tex](x-4)^{2}=44[/tex]

Step-by-step explanation:

we have

[tex]x^{2}-8x-10=18[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}-8x=18+10[/tex]

[tex]x^{2}-8x=28[/tex]

Complete the square . Remember to balance the equation by adding the same constants to each side

[tex]x^{2}-8x+16=28+16[/tex]

[tex]x^{2}-8x+16=44[/tex]

Rewrite as perfect squares

[tex](x-4)^{2}=44[/tex]

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