Question

докажите неравенство (x-2)^2 > x(x-2)

Answer 1

$(x-2)^2\ \textgreater \ x(x-2)\\x^2-4x+4\ \textgreater \ x^2-2x\\-2x+4\ \textgreater \ 0\\2x\ \textless \ 4\\x\ \textless \ 2$