Question

If m-n=9 and mn=16 find the va
lue of m²
​

Answer 1

Answer

Given, m−n=16 and m

2

+n

2

=400

We know that, (m−n)

2

=m

2

+n

2

−2mn ... (i)

By putting the given values in equation (i),

(16)

2

=400−2mn

256=400—2mn

256−400=−2mn

—144=−2mn

72=mn

So, the value of mn is 72.