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x²+2=2x-------(1)*x x³+2x=2x²------(2)*x x^4+2x²=2x³------(3) | Algebra Quint

x²+2=2x-------(1)*x
x³+2x=2x²------(2)*x
x^4+2x²=2x³------(3)
add all
x^4+2x²+x³+2x+x²+2=2x+2x²+2x³
x^4-x³+x²+2=0,