Can you prove this fraction problem with mean proportion?

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SUMMARY

The discussion centers on proving the equation (a² - b² + c²) / (a⁻² - b⁻² + c⁻²) = b⁴, where b is defined as the mean proportion between a and c. Participants clarify the definition of mean proportion and confirm understanding of the problem. The proof involves algebraic manipulation and understanding of mean proportions in mathematical contexts.

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  • Understanding of mean proportion in mathematics
  • Familiarity with algebraic manipulation techniques
  • Knowledge of exponent rules and properties
  • Basic skills in mathematical proof construction
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  • Study the properties of mean proportions in geometry
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Mathematicians, students studying algebra, educators teaching mathematical proofs, and anyone interested in the properties of mean proportions.

kuheli
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if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
 
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Re: please help with this fraction problem

kuheli said:
if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
Hello,
Do you got any progress?
do you know what they mean with "b is the mean proportion between a and c"
$$b^2=ac$$ put that on left side what do you got?

Regards,
$$|\pi\rangle$$
 
ya i got it .. thanks a lot :)
 

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