Question

X sq + 4y sq =17 xy=2 find x+2y

Answer 1

Answer:

Your answer is given in the above image

Answer 2

Answer :

$given \: - \\ {x}^{2} + 4 {y}^{2} = 17 \\ xy = 2 \\ find - \\ x + 2y \\ using \: idenity \: \\ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ \\ {(x + 2y)}^{2} = {x}^{2} + 4 {y}^{2} + 4xy \\ we \: kno \: that \: the \: value \: of \: xy = 2 \: and \: {x}^{2} + 4 {y}^{2} \\ 17 + 4 \times 2 \\ 17 + 8 \\ 25 \\ {(x + 2y)}^{2} = 25 \\ x + 2y = \sqrt{25} \\ x + 2y = 5$