If a.m b/w two no. Is 17 and g. M is 8 find no.
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((a+b)/2)2−ab=((a2+b2)+2ab−4ab)/4=((a−b)/2)2≥0((a+b)/2)2−ab=((a2+b2)+2ab−4ab)/4=((a−b)/2)2≥0
If we can take the geometric mean, then both numbers must have the same sign which must be positive since the the arithmetic mean is positive.
Therefore, ab−−√≤(a+b)/2.ab≤(a+b)/2.
If we can take the geometric mean, then both numbers must have the same sign which must be positive since the the arithmetic mean is positive.
Therefore, ab−−√≤(a+b)/2.ab≤(a+b)/2.
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