Question

Answers Of EX 1G Class 9 RS Aggarwal Chapter 1. Latest Edition

Answer 1

Answer:

nx² - 2mx + n = 0

Step-by-step explanation:

x = $x = \frac{\sqrt{m + n} + \sqrt{m-n}}{\sqrt{m + n} - \sqrt{m-n}}\\ \\Multiplying \: \& \: divide\: by  \: \sqrt{m + n} + \sqrt{m-n}\\ \\x = \frac{\sqrt{m + n} + \sqrt{m-n}}{\sqrt{m + n} - \sqrt{m-n}} \times \frac{\sqrt{m + n} + \sqrt{m-n}}{\sqrt{m + n} + \sqrt{m-n}} \\ \\\\x = \frac{m + n + m - n + 2\sqrt{m^2 - n^2} }{m + n - (m-n) }  \\ \\x = \frac{2(m + \sqrt{m^2 - n^2})}{2n} \\ \\x =  \frac{m + \sqrt{m^2 - n^2}}{n} \\ \\nx  = m + \sqrt{m^2 - n^2} \\ \\nx - m = \sqrt{m^2 - n^2}$

squaring both sides

(nx-m)² = m² - n²

=> n²x² + m² - 2mnx = m² - n²

=> n²x²  - 2mnx =  - n²

Diving by n both sides

=> nx² - 2mx = - n

=> nx² - 2mx + n = 0

Answer 2

Answer:

2,

Step-by-step explanation: