Question 38357
<pre><font size = 4><b>                      _ 
For the equation x - <font face = "symbol">Ö</font>x = 0, perform the following:
Solve for all values of x that satisfies the equation.
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      x - <font face = "symbol">Ö</font>x = 0

Isolate the radical term
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           x = <font face = "symbol">Ö</font>x

Square both sides
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        (x)² = (<font face = "symbol">Ö</font>x)²

          x² = x

Get 0 on right by subtracting x from both sides

      x² - x = 0

    x(x - 1) = 0

Use zero-factor principle

x = 0 is already solved

x - 1 = 0 gives x = 1

You should always check the solutions in equations containing
square roots because sometimes the solutions you get do not
check, but both these check.

So solutions are 0 and 1

Edwin
AnlytcPhil@aol.com</pre>