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Mathematics

Answered

x^2-18x-57=6 solve each equation by completing the square

Answer :

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[tex]x^2-18x-57=6[/tex][tex]x^2-18x+81-81-57=6[/tex][tex](x^2-18x+81)-81-57=6[/tex][tex](x-9)^2=6+57+81[/tex][tex](x-9)^2=144[/tex][tex]\sqrt[]{(x-9)^2}=\sqrt[]{144}[/tex][tex]x-9=\pm12[/tex][tex]x=12+9=21[/tex][tex]x=-12+9=-3[/tex]

x=-3

x=21

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