Please, solve this equation: root(4)(m + 4) – 5 = -2

Yulia 2021-08-10 Answered
Please, solve this equation:
\(\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}=-{2}\)

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Expert Answer

Szeteib
Answered 2021-08-11 Author has 5586 answers
\(\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}=-{2}\)
\(\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}+{5}=-{2}+{5}\)
\(\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}={3}\)
\(\displaystyle{\left({\sqrt[{{4}}]{{{m}+{4}}}}\right)}^{{4}}={3}^{{4}}\)
\(\displaystyle{m}+{4}={81}\)
\(\displaystyle{m}={81}–{4}\)
\(\displaystyle{m}={77}\)
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