SOLUTION: find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n

Question 90081: find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n
Found 2 solutions by malakumar_kos@yahoo.com, kamallohia:
Answer by malakumar_kos@yahoo.com(315) (Show Source): You can put this solution on YOUR website!

find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n
If (3m+7n) and (3m-7n) are the factors then (3m+7n)*(3m-7n)
= (3m)^2 - (7n)^
= 9m^2 - 49n^2
Therefore 9m^2- kn^2 = 9m^2- 49n^2
hence k = 49
Answer by kamallohia(18) (Show Source): You can put this solution on YOUR website!
find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n
Now factorize 9m^2-kn^2 and equate the factors with given factors as follows
9m^2-kn^2 = (3*m-n*k^0.5)(3*m+n*k^0.5)
equating with given factors we get
k^0.5=7 =>k=49.
Hope this is clear.
Kamal Lohia
RELATED QUESTIONS
Find a value for k so that 9m ^2 - kn^2 will have the factors 3m+7n and 3m-7n (answered by jim_thompson5910)
Find a value for k so that 9m^2-kn^2 will have the factors 3m + 7n and 3m... (answered by rapaljer)
Find a value of k so that 9m^2 � kn^2 will have the factors 3m + 7n and 3m � 7n (answered by stanbon)
Find a value for k so that 9m squared - kn squared will have the factors 3m + 7n and 3m - (answered by stanbon,solver91311)
Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n. Thanks for (answered by venugopalramana)
How do you find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and... (answered by checkley75)
I don't quite understand this one. Find a value for k so that 9m^2 - kn^2 will... (answered by vidhyak)
Factor each expression. Find a value for k so that 9m^2-kn^2 will have the factors... (answered by checkley71)
Please help this is confusing to me. Find a value for k so tha 9m^2 - kn^2 will have the (answered by THANApHD,jim_thompson5910)