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#### karush

##### Well-known member

- Jan 31, 2012

- 3,084

**1.4.1**Miliani HS

Find all complex numbers x which satisfy the given condition

$\begin{array}{rl}

1+x&=\sqrt{10+2x} \\

(1+x)^2&=10+2x\\

1+2x+x^2&=10+2x\\

x^2-9&=0\\

(x-3)(x+3)&=0

\end{array}$

ok looks these are not

*complex numbers*unless we go back the the radical

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