Solving a Radical Equation with Summation

Question

What is the solution for $$x$$ to the equation $$\sum_{n=1}^{2} \frac{nx}{n+1} = \sqrt{x+9}$$?

| $$n$$ | Term |
|---|---|
| 1 | $$\frac{x}{2}$$ |
| 2 | $$\frac{2x}{3}$$ |

Accepted Answer

$$x=\frac{18+90*\sqrt{2}}{49}$$

Answer

$$x=\frac{90*\sqrt{2}-18}{49}$$

Answer

$$x=\frac{18-90*\sqrt{2}}{49}$$

Answer

$$x=\frac{90*\sqrt{2}+18}{7}$$

$n$	Term
1	$\frac{x}{2}$
2	$\frac{2x}{3}$

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