MHB Can you prove this fraction problem with mean proportion?

  • Thread starter Thread starter kuheli
  • Start date Start date
  • Tags Tags
    Fraction
AI Thread Summary
The discussion centers on proving the equation (a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4, given that b is the mean proportion between a and c. Participants seek clarification on the meaning of "mean proportion" in this context. One user expresses understanding of the problem after receiving assistance. The conversation highlights the importance of grasping the concept of mean proportion to solve the fraction problem effectively. Overall, the thread emphasizes collaborative problem-solving in mathematics.
kuheli
Messages
14
Reaction score
0
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
 
Mathematics news on Phys.org
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 :)
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Just chatting with my son about Maths and he casually mentioned that 0 would be the midpoint of the number line from -inf to +inf. I wondered whether it wouldn’t be more accurate to say there is no single midpoint. Couldn’t you make an argument that any real number is exactly halfway between -inf and +inf?

Similar threads

Back
Top