Question

If 3p + 2q = 12 and pq = 6, then the value of
9p^2 + 4q^2 + 5 is

Options:
(1) 72
(2) 77
(3) 75
(4) 81​

Answer 1

Answer:

9p²+4q²+5 = 77. option (2)

Step-by-step explanation:

9p²+4q²+5 = (3p)²+(2q)²+12pq-12pq+5

= (3p+2q)²-12pq+5

= (12)²-12(6)+5

= 144-72+5

= 77

Answer 2

Answer:

= (3p)^2+(2q)^2-2pq +2pq+5

= (3p+2q)^2-2pq +5

=12^2-12+5

=77