Question

40. Find the value/s of x which satisfy the following equation :

x +1/x = 3

​

Answer 1

Step-by-step explanation:

$\frac{x + 1}{x} = 3 \\ \\ x + 1 = 3x \\ \\ 1 = 3x - x \\ \\ 2x = 1 \\ \\ x = \frac{1}{2}$

Answer 2

Answer:

Given inequation,

−2≤  

2

1

​  

−  

3

2x

​  

≤1  

6

5

​  

,x∈N

⇒−2−  

2

1

​  

≤  

2

1

​  

−  

3

2x

​  

−  

2

1

​  

≤  

6

11

​  

−  

2

1

​  

 

⇒−  

2

5

​  

≤−  

3

2x

​  

≤  

6

8

​  

 

⇒−  

2

5

​  

≤−  

3

2x

​  

 and −  

3

2x

​  

≤  

6

8

​  

 

⇒−15≤−4x and −2x≤4

⇒15≥4x and 2x≥−4

⇒  

4

15

​  

≥x and x≥−2

⇒3.75≥x and x≥−2

Hence, the solution set is {x∈N:−2≤x≤3.75}  

And as x∈N, the values of x are 1,2,3