Question

The sum of the two natural numbers is 9 and the sum of their reciprocal is 9 by 20 find the numbers​

Answer 1

Answer:

1

1

+ 9 - x

9 x + x =

x(9 – x) 12

9 9x x2 1 2 = || 1

9x 18

| 6x - 3x + 18 = 0

-→ æ(x 6) – 3(x – 6) = 0

= x – 3 = 0 or X – 6 = 0

X = 3 or x = 6

When = 3

Chapter 10: Quadratic Equations

O 12

1

1 9x + 18 =When x 3

9 – x = 9 3 = 6

Whenx 6

9 x = 9 – 6 = 3

Hence, the required natural numbers are 3 and 6.