Solve the system |x^(2)-2x|+y=1,x^(2)+|y...

Solve the system `|x^(2)-2x|+y=1,x^(2)+|y|=1`

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The correct Answer is:

(x=0,y=1)(x=1,y=0) and (x=y=`(1-sqrt(5))/2)`

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