the sum of two natural numbers is 9 and the sum of their reciprocls is 9/20 find the number
Answers
Answered by
0
Answer:
fine and good evening where are you from
Answered by
1
Answer:
No real value of x is possible. so question is incorrect
Step-by-step explanation:
Given,
Sum of two numbers = 9
Sum of their reciprocal = 9 / 20
To find: The numbers
Solution:
Let the one number be x.
Then another number = ( 9 - x)
Then the equation formed will be,
\begin{gathered}\dfrac{1}{x} + \dfrac{1}{(9-x)} = \dfrac{9}{20}\\\\\dfrac{(9-x)+x}{x(9-x)} = \dfrac{9}{12}\\\\12 \times 9 = 9 (9x -x^2)\\\\108 = 18x - 9x^2\\\\12 = 2x - x^2\\\\x^2 - 2x + 12 = 0\\\\\end{gathered}x1+(9−x)1=209x(9−x)(9−x)+x=12912×9=9(9x−x2)108=18x−9x212=2x−x2x2−2x+12=0
No real value of x is possible.
Similar questions
Environmental Sciences,
1 month ago
English,
1 month ago
Science,
2 months ago
Accountancy,
2 months ago
English,
10 months ago
Physics,
10 months ago