Find all value of parameter $a$ such that equations $x^2-ax+1=0$ and $x^2-x+a=0$ have at least one same solution. For this value $a$ find same solution of this equations(real or imaginary).
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Tags: parameterization
Find all value of parameter $a$ such that equations $x^2-ax+1=0$ and $x^2-x+a=0$ have at least one same solution. For this value $a$ find same solution of this equations(real or imaginary).