√x = x+1
You asked:
Solve the equation \(\sqrt{x} = x + 1\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= - \frac{1}{2} - \frac{\sqrt{3} i}{2} \approx -0.5 -0.8660254 i\\x &= - \frac{1}{2} + \frac{\sqrt{3} i}{2} \approx -0.5 + 0.8660254 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).