Question

Find the values of m,n ....if ...m
n^2- m^2 = 14

Answer 1

Hi ...dear....
here is your answer...!!.....

Given,
n^2-m^2=14...


(.n+m)(n-m) = 7*2..


see picture...!!!..
by solving equations we get...
..(m,n)= (9/2,5/2 ) or (9/2 , -5/2)...
hope it helped you!!
Regards Brainly Star Community
#shubhendu

Answer 2

Hey there!

The given equation n² - m² may have infinitely many real solutions. But I will find one of the solution here.

n² = 14 + m²

Let m² = x, n ² = y.

So, y = 14 + x

Let x = 3 , then y = 14 + 3 = 17
x = 0 , y = 14 .

So, ( x, y) = 3 , 17

m = √x = √3
n = √y = √17

If ( x, y) = 0 , 14

m = √0 = 0
n = √14