Question
The H.M. of two numbers is 4 . If their A.M. $A$ andG.M. $G$ satisfy the relation $2 A+G^{2}=27$, then the numbers are(A) 1(B) 2(C) 3(D) 6
Step 1
The harmonic mean (H.M.) of two numbers is given by the formula $HM = \frac{2ab}{a+b}$. Given that the H.M. of the two numbers is 4, we can write the equation as: \[ \frac{2ab}{a+b} = 4 \tag{1} \] Show more…
Show all steps
Your feedback will help us improve your experience
Aflah M and 79 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If the A.M. between two numbers exceeds their G.M. by 2 and the G.M. exceeds their H.M. by $\frac{8}{5}$; find the numbers.
The A.M. of two numbers exceeds their G.M. by 15 and H.M. by 27 , find the numbers
Let three numbers $a, b, c$ between 2 and 18 be such that (i) their sum is 25 , (ii) the number $2, a, b$ are in A.P. and (iii) the numbers $b, c, 18$ are in G.P. then $c-9$ is
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD