Let be real. Show that if , then
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Originally Posted by EinStone Let be real. Show that if , then As it means x and y are both greater than 1. so, adding (i) & (ii), we have
Originally Posted by slovakiamaths As it means x and y are both greater than 1. so, What makes you think that is true? It is not true:
Originally Posted by EinStone Let be real. Show that if , then If and , then you would like to establish that or Since then we wish to prove that or Completing the square gives which obviously is true.
Assume, without loss of generality, that . , where and , so , and thus .
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