Question

$\huge \mathfrak \pink{question}$
If 2x+3y=15 and xy= 6, find the value of 4x²+9y² .
$\small \mathfrak \blue{please \: solve \: stepwise \: }$
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Answer 1

Explanation:

$4 {x}^{2} + 9 {y}^{2} = 153$

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Answer 2

$</p><p> </p><p>\huge \mathfrak \pink{answer} \\ \small\bold \green{given - \: } 2x + 3y = 15 \\ \: \: \: \: \: \: \: \: xy = 6 \\ \small\bold \green{solution- \: } \: \\ 2x + 3y = 15 \\ {(2x + 3y)}^{2} = {15}^{2} \\ 4 {x}^{2} + 9 {y}^{2} + 12xy = 225 \\ 4 {x}^{2} + 9 {y}^{2} + 12 \times 6 = 225 \\ 4 {x}^{2} + 9 {y}^{2} = 225 - 72 \\ \: \small\bold\blue{4 {x}^{2} + 9 {y}^{2} = 153 }$

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