If 2x + 3y = 8 and xy = 2, find the value of 4x² + 9y²

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Solution

In the given problem, we have to find

We have been given and

Let us take

On squaring both sides we get,

We shall use the identity

By substituting we get,

Hence the value of is

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Similar questions

If $2 x + 3 y = 8 a n d x y = 2, f i n d t h e v a l u e o f 4 x^{2} + 9 y^{2} .$

(2 x - 3 y) = 10

x y = 8

4 x^{2} + 9 y^{2}

2 x \div 3 y = 8

x y = 4

4 x^{2} + 9 y^{2}

4 x^{2} + 9 y^{2} = 40, x y = 2

2 x + 3 y

(4 x^{2} + 9 y^{2}

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