Question

If 3x + 2y = 12 and xy = 6, find the value of 9x2 + 4y2.

Answer 1

Answer:

72

Step-by-step explanation:

(3x + 2y)^2 = (12)^2

after solving the above equation

u get the value of 9x^2 + 4y^2 i.e 72

Answer 2

Answer:

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)

2 = 122 => 9x

2 + 12xy + 4y

2 = 144 =>9x

2 + 4y

2 = 144 – 12xy

From the questions, xy = 6

So, 9x

2 + 4y

2 = 144 – 72

Thus, the value of 9x

2 + 4y

2 = 72