Question

Докажите неравенство

Answer 1

Ответ:

${(x - 2)}^{2} > x(x - 4) \\ \\ {(x - 2)}^{2} = {x}^{2} - 4x + 4 \\ x(x - 4) = {x}^{2} - 4x \\ \\ {x}^{2} - 4x + 4 > {x}^{2} - 4x \\ {x}^{2} - 4x + 4 - {x}^{2} + 4x > 0 \\ 4 > 0$