Question

"Find m² + n°, if m + n = 12 and mn = 22.
​

Answer 1

Answer:

$m^2+n^2=100$

Step-by-step explanation:

   Given    m+n=12 and mn = 22

consider m+n=12

squaring on both the sides,

             $(m+n)^2=12^2$

using given identity

             $m^2+2mn+n^2 = 144\\m^2+2(22)+n^2=144\\m^2+44+n^2=144\\m^2+n^2=144-44=100$

Answer 2

Sol:

m^2 + n^2 = ( m + n )^2

(m + n)^2 = m^2 + 2mn + n^2

( 12)^2 = m^2 + 2(22) + n^2

144 = m^2 + 44 + n^2

144 -44 = m^2 + n^2

100 = m^2 + n^2

Ans. m^2 + n^2 = 100.

If Answer is not correct then u can report.