Question

Find the value of 9a2+ 4b2

, if 3a +2b = 12 and ab = 6.​

Answer 1

Step-by-step explanation:

a = 6/b

3( 6/b) + 2b = 12

18/b + 2b = 12

9/b + b = 6

9 + b^2 = 6b

b^2 -6b +9 = 0

(b-3)^2 = 0

b =3

a = 2

9*2*2 + 4*3*3

= 36+ 36 = 72