Question

I really need help with this!

Answer 1

n equals -5/6 equals -0.833

Answer 2

$\bf (6n-5)^{\frac{1}{2}}+3=-2\\\\ -----------------------------\\\\ a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -----------------------------\\\\ thus \\\\\\ (6n-5)^{\frac{1}{2}}+3=-2\implies \sqrt{6n-5}+3=-2\implies \sqrt{6n-5}=-2-3 \\\\\\ \textit{now squaring both sides} \\\\\\ (\sqrt{6n-5})^2=(-5)^2\implies 6n-5=25\implies 6n=25+5 \\\\\\ n=\cfrac{25+5}{6}$

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$\bf \sqrt{y}-7=0\implies \sqrt{y}=7\impliedby \textit{squaring both sides} \\\\\\ (\sqrt{y})^2=7^2\implies y=7^2$