Question

$$\sqrt{\frac{2}{x-3x-1-2x=-1}$$

Answer

x=0,2/25

Solution


Cancel \(-1\) on both sides.
\[\sqrt{2x}-3x-2x=0\]
Simplify  \(\sqrt{2x}-3x-2x\)  to  \(\sqrt{2x}-5x\).
\[\sqrt{2x}-5x=0\]
Separate terms with roots from terms without roots.
\[\sqrt{2x}=5x\]
Square both sides.
\[2x=25{x}^{2}\]
Move all terms to one side.
\[2x-25{x}^{2}=0\]
Factor out the common term \(x\).
\[x(2-25x)=0\]
Solve for \(x\).
\[x=0,\frac{2}{25}\]

Decimal Form: 0, 0.08