Question

If (4x + 3y)  = 10 and xy = 4, find the value of (16x² + 9y²). please answer.....​

Answer 1

$Given \: 4x + 3y = 10 \: ---(1)$

$and \: xy = 4 \: --(2)$

/* On squaring both sides of the equation (1),we get */

$\implies (4x+3y)^{2} = 10^{2}$

$\implies (4x)^{2} + (3y)^{2} + 2 \times (4x) \times (3y) = 100$

$\implies 16x^{2} + 9y^{2} + 24xy = 100$

$\implies 16x^{2} + 9y^{2} + 24\times 4 = 100 \: [From \: (2) ]$

$\implies 16x^{2} + 9y^{2} + 96= 100$

$\implies 16x^{2} + 9y^{2} = 100 - 96$

$\implies 16x^{2} + 9y^{2} = 4$

Therefore.,

$\red{Value \: of \: 16x^{2} + 9y^{2} }\green {= 4}$

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Answer 2

Answer:

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