Question

Compute the value of 9x2 + 4y2 if xy = 6 and 3x + 2y = 12.​

Answer 1

Answer:

Answer will be -60

Step-by-step explanation:

hope it will help you

Answer 2

Answer:  9x2 + 4y2 = 72

Step-by-step explanation:  

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)2

= 122

=> 9x2

+ 12xy + 4y2

= 144

=>9x2

+ 4y2

= 144 – 12xy

From the questions, x y = 6

9x2

+ 4y2

= 144 – 72

Thus, the value of 9x2

+ 4y2 = 72