𝑥 √3 = (𝑥+36)/√3
You asked:
Solve the equation \(x \sqrt{3} = \frac{x + 36}{\sqrt{3}}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = 18\]
\[\begin{aligned}\sqrt{3} x &= \frac{\sqrt{3}}{3} x + 12 \sqrt{3}\\\frac{2 \sqrt{3}}{3} x &= 12 \sqrt{3}\\x &= 18\end{aligned}\]