If A (60^ - A ) (60^ + A )=k 3 ~A , then what is k equal to?

Step-by-step solution

aligned A ( ^2 60^ - ^2 ~A ) & = k 3 ~A ~A ( ( 3 2 )^2- ^2 ~A ) & =k 3 ~A ~A ( 3 4 - ^2 ~A ) & =k 3 ~A 3 ~A -4 ^3 ~A 4 & =k 3 ~A aligned aligned 3 ~A 4 & = k 3 ~A 1 4 k & =1 k & = 1 4 aligned