for what real value of x and y is the equ sec 2 a = (4 xy )/ (x+ y) 2 possible ?

Hi,We know that Sec^2 will always be grater than one.So (4 xy )/ (x+ y)2 >1.When you solve this inequality you will get (x-y)2 / (x+y)2 <0 which is not possible for any real x and y.Hence there is no such real value of x & y exist which will satisfy this inequality.

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for what real value of x and y is the equ sec ²a = (4 xy )/ (x+ y) ²possible ?

Prateek Agrawal , 10 Years ago

Grade 12

1 Answers

Yash Baheti

Last Activity: 10 Years ago

Hi,

We know that Sec^2 will always be grater than one.
So (4 xy )/ (x+ y)² >1.
When you solve this inequality you will get (x-y)² / (x+y)² <0 which is not possible for any real x and y.
Hence there is no such real value of x & y exist which will satisfy this inequality.