Question

I want to complete solutions of this question

Answer 1

Given xy=6

2x+y=14
Squaring both side
$(2x + y) ^{2} = {14}^{2} \\ 4 {x}^{2} + {y}^{2} + 2 \times 2x \times y = 196 \\ 4 {x}^{2} + {y}^{2} + 4xy = 196 \\ \ 4 {x}^{2} + {y}^{2} + 4 \times 6 = 196 \\ 4 {x}^{2} + {y}^{2} = 196 - 24 \\ 4 {x}^{2} + {y}^{2} = 172$
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