(n+8)^2=18^2/n^2
You asked:
Solve the equation \({\left( n + 8 \right)}^{2} = \frac{{18}^{2}}{{n}^{2}}\) for the variable \(n\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}n &= -4 + \sqrt{34} \approx 1.8309519\\n &= -4 + \sqrt{2} i = -4 + 1.4142136 i\\n &= -4 - \sqrt{34} \approx -9.8309519\\n &= -4 - \sqrt{2} i = -4 -1.4142136 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).