Question

If m-n=8 and m2 +n2 = 224 find value of mn

Answer 1

Step-by-step explanation:

m - n = 8 - - - - - 1

m2 + n2 = 224 - - - - 2

From equation 1

m = 8 + n

Substitute above value in equation 2 will get,

(8 + n) 2 + n2 = 224

16 + n2 + n2 = 224

16 + 4n = 224

4n = 224 - 16

4n = 208

n = 208/4

n = 52

Now putting this n = 52 in equation 1 will get,

m - 52 = 8

m = 52+8

m = 60

Hence values for m = 60 and n = 52