Question

given that a(a+b) = 36 and b(a+b) = 64. where a and b are positive , find (a-b)

Answer 1

add two equations
a^2+b^2+2ab=100
(a+b)^2=100
a+b=10
substitute in above equations
(a+b)^2-4ab=(a-b)^2
100-(4*3.6*6.4)=(a-b)^2
a-b=√7.14

a-b=2.8