The arithmeticgeometric inequality By applying the arithmeticgeometric inequality to the first two terms of this inequality, deduce
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The arithmetic–geometric inequality
By applying the arithmetic–geometric inequality to the first two terms of this inequality, deduce that
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implies x + y 2 x+y 2 > xy >xy Use the substitution x = (a + b), y = 2(c + d), where a, b, c and d > 0, to show that and hence that ( + b )( + d ) = (a + b + c + d ) 2 2 4 2 d) = (+b+c+d)* 4 a+b (a + b)(e = (c + 2 2
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zxy Substituting x a b and ycd gives ab...View the full answer
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