x+30=x*3^{1/2}
You asked:
Solve the equation \(x + 30 = x \cdot {3}^{\frac{1}{2}}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = 15 + 15 \sqrt{3} \approx 40.980762\]
\[\begin{aligned}x + 30 &= \sqrt{3} x\\x \left(1 - \sqrt{3}\right) &= -30\\x &= - \frac{30}{1 - \sqrt{3}}\end{aligned}\]