Math, asked by ăßçđ, 3 months ago

please solve the above question.​

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Answers

Answered by suhail2070
0

Answer:

x - y =  - 2.

Step-by-step explanation:

x =  \sqrt{63 + 2 \sqrt{63 + 2 \sqrt{63 + ....} } }  \\  \\ then \:  \:  \:  \: x =  \sqrt{63 + 2x  }   \\  \\  {x }^{2}  - 2x - 63 = 0 \\  \\  {x}^{2}  - 9x + 7x - 63 = 0 \\  \\ x(x - 9) + 7(x - 9) = 0 \\  \\ (x + 9)(x - 7) = 0 \\  \\ x = 7 \\  \\  \\  \\  \\  \\  \\  \\ y =  \sqrt{63 - 2y}  \\  \\  {y}^{2}  + 2y - 63 = 0 \\  \\    {y}^{2}  - 7y + 9y - 63 = 0 \\  \\ y(y - 7) + 9(y - 7) = 0 \\  \\ (y - 9)(y + 7) = 0 \\  \\ y = 9 \\  \\  \\ x - y = 7 - 9 =  - 2.

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