Question

The sum of a number and ite reciprocal is 10/3
Find the number​

Answer 1

Answer:

We have,

Let the number is x.

So,

According to given question,

x+

x

1

=

3

10

⇒

x

x

2

+1

=

3

10

⇒3x

2

+3=10x

⇒3x

2

−10x+3=0

⇒3x

2

−(9+1)x+3=0

⇒3x

2

−9x−1x+3=0

⇒3x(x−3)−1(x−3)=0

⇒(x−3)(3x−1)=0

So,

x−3=0,x=3

3x−1=0

x=

3

1

Hence, this is the required answer.

Step-by-step explanation:

We have,

Let the number is x.

So,

According to given question,

x+

x

1

=

3

10

⇒

x

x

2

+1

=

3

10

⇒3x

2

+3=10x

⇒3x

2

−10x+3=0

⇒3x

2

−(9+1)x+3=0

⇒3x

2

−9x−1x+3=0

⇒3x(x−3)−1(x−3)=0

⇒(x−3)(3x−1)=0

So,

x−3=0,x=3

3x−1=0

x=

3

1

Hence, this is the required answer.

Answer 2

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