Question

if 3 X + 2 Y is equal to 12 and X Y is equal to 6 find the value of 9 X square + 4 y square​

Answer 1

Step-by-step explanation:

3x+2y=12 ,xy=6

here, 3x+2x=12

Square both side

${(3x + 2y)}^{2} = {12 }^{2} \\ {9x}^{2} + 2xy + {4x}^{2} = 144 \\ as \: we \: know \: the \: value \: of \: xy \: is \: 6 \\ {9x }^{2} + {4x}^{2} + 2 \times 6 = 144 \\ {9x }^{2} + {4x}^{2} = 144 - 12 \\{9x }^{2} + {4x}^{2} = 132 \\ \\ \\ \\ \\ hope \: it \: will \: help \: you \: \\ mark \: me \: as \: brainlest$

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