2x^2-5=((x+5)/2)^(1/2)
You asked:
Solve the equation \(2 {x}^{2} - 5 = {\left( \frac{x + 5}{2} \right)}^{\frac{1}{2}}\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{1}{4} + \frac{\sqrt{41}}{4} \approx 1.8507811\\x &= - \frac{1}{4} - \frac{\sqrt{37}}{4} \approx -1.7706906\end{aligned}\]