SOLUTION: If the arithmetic mean of two numbers a & b (0<a<b) is 6 and their geometric mean G and harmonic mean H satisfy the relation G^2 +3H=48. Then what is the value of (2a-b)?

SOLUTION: If the arithmetic mean of two numbers a & b (0<a<b) is 6 and their geometric mean G and harmonic mean H satisfy the relation G^2 +3H=48. Then what is the value of (2a-b)?

Algebra.Com

Question 1094570: If the arithmetic mean of two numbers a & b (0
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
The geometric mean of two numbers is 4 and their harmonic mean is 3.2 find the... (answered by math_tutor2020)

if the arithmetic mean of two positive quantities a and b is three times their geometric... (answered by solver91311)

Find the arithmetic and geometric mean of the series 1,2,4,8,16,....,2^n find also... (answered by ikleyn)

Three positive numbers form a geometric sequence. If the geometric mean of the first two... (answered by robertb)

if arithmetic mean and geometric mean are inserted between a and b, such that arithmetic (answered by Edwin McCravy)

prove that the geometric mean of two positive, unequal numbers is less than their... (answered by ikleyn)

Prove that the geometric mean of two positive, unequal numbers is less than their... (answered by ikleyn)

Prove that the geometric mean of two positive, unequal numbers is less than their... (answered by ikleyn)

We may define the three means (arithmetic, geometric, and harmonic) of two positive... (answered by ikleyn)