Question

Given that 13x -7y = 6 and xy = 2.Find the value of 169x^ 2 +49y^2.​

Answer 1

Answer:

13x - 7y = 6. and xy = 2

${169x}^{2} + {49y}^{2} = {(13x)}^{2} + {(7y)}^{2}$

${(13x - 7y)}^{2} = {(13x)}^{2} + {(7y)}^{2} - 2 \times 13x \times 7y$

${169x}^{2} + {49y}^{2} = 36 + 364 = 400$