solving a quadratic polynomial

[johnnyalcove]

Hello fellow blogger s,
My textbook poses a problem that results in a formula 22= (n-2) ((48/n) +3)) -48
By using wolfram-alpha I recognize that n = 12 but am having difficulty proving it to myself. Any help is welcome
Thank you.

 

[Ryan Rigdon]

when u solve this problem you will get n = 12 and n = -8/3 after using the quadratic formula.

after plugging each one back in you will notice that n = 12 & n = -8/3 will make

22= (n-2) ((48/n) +3)) -48 true.

hope this helps you out in some way.

 

[Deleted member 4993]

Hello fellow blogger s,
My textbook poses a problem that results in a formula 22= (n-2) ((48/n) +3)) -48
By using wolfram-alpha I recognize that n = 12 but am having difficulty proving it to myself. Any help is welcome
Thank you.

The easiest to confirm answer in these typese of problems - is to replace n by 12 in the right-hand-side of the equation and simplify to see if that turns out to be 22.