Question

complete the value of 9x2+4y^2 if xy=6 and 3x+2y = 12​

Answer 1

Answer:

72

Step-by-step explanation:

We have to find value of 9x^2 + 4y^2

3x+2y=12 be the equation 1

squaring on both sides

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

we get

9x^2 + 4y^2 + 2(3x)(2y) = 144

9x^2 + 4y^2 + 12xy = 144. (xy = 6)

9x^2 + 4y^2 = 144 - (12*6)

9x^2 + 4y^2 = 144 -72

9x^2 + 4y^2 = 72