#### Question

If `(4m + 3n)/(4m - 3n) = 7/4` use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`

#### Solution

`m/n = 11/4`

`m^2/n^2 = 121/16`

`(2m^2)/(11n^2) = (2 xx 121)/(11 xx 16)` (Multiplying both sides by 2/11)

`(2m^2)/(11n^2) = 11/8`

`(2m^2 + 11n^2)/(2m^2 - 11n^2) = (11 + 8)/(11 - 8)` (Applying componendo and divdendo)

`(2m^2 + 11n^2)/(2m^2 - 11n^2) = 19/3`

`(2m^2 - 11n^2)/(2m^2 + 11n^2) = 3/19` (Applying invertendo)

Is there an error in this question or solution?

Advertisement

Advertisement

Solution If (4m + 3n)/(4m - 3n) = 7/4 Use Properties of Proportion to Find (2m^2 - 11n^2)/(2m^2 + 11n^2) Concept: Proportions.

Advertisement