Answer :

Answer:

lesser [tex]x=-8-\sqrt{2}=-9.41[/tex]

greater [tex]x=-8+\sqrt{2}=-6.59[/tex]

Step-by-step explanation:

[tex](x+8)^2-2=0\\(x+8)^2=2\\x+8=\pm\sqrt{2}\\x=-8\pm\sqrt{2}\\[/tex]

This means that

lesser [tex]x=-8-\sqrt{2}=-9.41[/tex]

greater [tex]x=-8+\sqrt{2}=-6.59[/tex]

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