SurlyPurpleSquirrel

Joined 22 February 2023
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Line 2: Line 2:


x = y.  
x = y.  
Then x2 = xy.  
 
Subtract the same thing from both sides:  
Then x2 = xy.
Subtract the same thing from both sides:
x2 – y2 = xy – y2.  
x2 – y2 = xy – y2.  
Dividing by (x-y), obtain  
Dividing by (x-y), obtain  
x + y = y.  
x + y = y.  
Since x = y, we see that  
Since x = y, we see that  
2 y = y.  
2 y = y.  
Thus 2 = 1, since we started with y nonzero.  
Thus 2 = 1, since we started with y nonzero.  
Subtracting 1 from both sides,  
Subtracting 1 from both sides,  
1 = 0.
1 = 0.
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