Which equation results from taking the square root of both sides (x-9)^2=81

Mathematics

2 answers:

dezoksy [38]3 years ago

7 0

$(x-9)^2=81\\\\\sqrt{(x-9)^2}=\sqrt{81}\\\\|x-9|=9\iff x-9=9\ \vee\ x-9=-9\ \ \ |+9\\\\x=19\ \vee\ x=0$

mestny [16]3 years ago

3 0

$\bf (x-9)^2=81\implies \sqrt{(x-9)^2}=\sqrt{81}\implies x-9=\pm \sqrt{81}
\\\\\\
x-9=\pm 9\implies x=\pm 9+9$

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