Question

(2x+1)^1/2=-5

Answer 1

\(\bf \large \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}
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(2x+1)^{\frac{1}{2}}=-5\implies \sqrt{2x+1}=-5\quad \textit{raise both by "2"}\\ \quad \\
(\sqrt{2x+1})^2=(-5)^2\implies \sqrt{(2x+1)^2}=(-5)^2\implies 2x+1=25\)