Answer:
c=-1.3298
Explanation:
Given the equation:
[tex]9c^9+25=-92[/tex]We want to solve for c.
First, subtract 25 from both sides of the equation:
[tex]\begin{gathered} 9c^9+25-25=-92-25 \\ 9c^9=-117 \end{gathered}[/tex]Next, divide both sides by 9.
[tex]\begin{gathered} \frac{9c^9}{9}=-\frac{117}{9} \\ c^9=-13 \end{gathered}[/tex]Take the 9th root of both sides:
[tex]\begin{gathered} \sqrt[9]{c^9}=\sqrt[9]{-13} \\ c=\sqrt[9]{-13} \\ \implies c=-\sqrt[9]{13} \\ \implies c\approx-1.3298 \end{gathered}[/tex]The value of c is approximately equal to -1.3298.
