Question

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

Answer 1

Step-by-step explanation:

60

adding and subtracting 12xy to eq

then ,

$9 {x}^{2} + 4 {y}^{2} + 12xy - 12xy$

${(3x + 2y)}^{2} - 12xy$

${12}^{2} - 12 \times 6$

$144 - 48$

96

Answer 2

Answer:

Given :3x+2y=12

squaring both sideswe get

9x2+ 4y2 + 12×y = 144

9x2 +4y2 + 12(6)=144

(since XY=6 given )

9x2+4y2 =144-72=72

Step-by-step explanation:

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