Question

If a.m b/w two no. Is 17 and g. M is 8 find no.

Answer 1

((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.