MHB Having difficulty in solving the equation

Thread starter gobindo
Start date Oct 29, 2013
Tags

Difficulty

AI Thread Summary

The discussion revolves around proving the equation (a+b+c)²/(a² + b² + c²) = (a+b+c)/(a-b+c) under the condition that a, b, and c are in continued proportion. Participants emphasize the importance of showing attempted solutions to facilitate better assistance. Clarifying specific steps where confusion arises can lead to more targeted help. The conversation highlights the need for a clear understanding of the properties of continued proportions in relation to the equation. Engaging with the problem through shared attempts can enhance collaborative problem-solving.

Oct 29, 2013

gobindo

if a,b,c are in continued proportion .prove that (a+b+c)^2/(a^2 + b^2 +c^2 )=(a+b+c)/(a-b+c)

Mathematics news on Phys.org

Oct 29, 2013

MarkFL

Gold Member

MHB

Re: having difficulty in solving the question.

Can you show what you have tried? Our helpers are better able to help if they can see where you are stuck. :D

Thread 'Trigonometry problem of interest'

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...

View full post »

Thread 'Midpoint(s) of the unbounded number line'

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?

View full post »

Thread 'Arithmetic and our place value system'

A power has two parts. Base and Exponent. A number 423 in base 10 can be written in other bases as well: 1. 4* 10^2 + 2*10^1 + 3*10^0 = 423 2. 1*7^3 + 1*7^2 + 4*7^1 + 3*7^0 = 1143 3. 7*60^1 + 3*60^0 = 73 All three expressions are equal in quantity. But I have written the multiplier of powers to form numbers in different bases. Is this what place value system is in essence ?

View full post »