The sum of a number and its reciprocal is 2 what will be the difference of this number and its recip

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15 Sep 2010 find difference

The sum of a number and its reciprocal is 2 what will be the difference of this number and its reciprocal ?

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) 0

Solution

let the numebr is x

x + 1/x = 2
x^2 - 2x + 1 = 0
By solve the equation
x=1
so 1/x = 1
Then 1-1/1= 1-1 = 0

Correct Option: 10 Best Solution (18)

Dr.Dipin Singh   13 years AGO

x+1/x=2 or x^2-2x+1=0 or x=1 .

Then 1-1/1= 1-1 = 0

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Amar   13 years AGO

number is 1. 1-1/1=0

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~Sandeep~   13 years AGO

x+1/x=1 => x=1 =>Difference is 1-1 =0

Like? Yes (1) | No   

Mayur   13 years AGO

The sum of a number and its reciprocal is 2 what will be the difference of this number and its reciprocal ?
1+1=2 ,,, 1-1=0

Like? Yes (1) | No   

Shikha   13 years AGO

number is 1 and reciprocal is also 1.

then 1+1=1 and 1-1=0

Like? Yes (1) | No   

Tridib Das   13 years AGO

Let the number and its reciprocal be x and 1/x
Therefore, x + 1/x = 2
or, x^2 -2x + 1 = 0
or, x = 1
Thus, x - 1/x = 1 - 1 = 0.
Hence the option is (10) 0

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HARMEET KAUR   13 years AGO

1-1=0 as 1+1=2

Like? Yes (1) | No   

SUDESHNA SEN   13 years AGO

Let the no. be x.
So, x+(1/x)= 2,
then, (x^2+1)/x=2,
or, x^2+1=2x,
or, x^2-2x+1=0,
or, (x-1)^2=0,
or, x-1=0
or, x=1 and (1/x)=1
So, x-(1/x)=1-1=0..... Option 10)

Like? Yes (1) | No   

YadeeshKumar   13 years AGO

x+(1/x)=2
x^2-2x+1=0
x=1
therefore
1-(1/1)=0

Like? Yes (1) | No   

Mamon Sengupta   13 years AGO

Let the no. be x.
So, x+(1/x)= 2,
then, (x^2+1)/x=2,
or, x^2+1=2x,
or, x^2-2x+1=0,
or, (x-1)^2=0,
or, x-1=0
or, x=1 and (1/x)=1
So, x-(1/x)=1-1=0..... Option 10)

Like? Yes (1) | No   

ASHOK ROY   13 years AGO

Let the no. be x.
So, x+(1/x)= 2,
then, (x^2+1)/x=2,
or, x^2+1=2x,
or, x^2-2x+1=0,
or, (x-1)^2=0,
or, x-1=0
or, x=1 and (1/x)=1
So, x-(1/x)=1-1=0..... Option 10)

Like? Yes (1) | No   

MP    13 years AGO

number is 1. 1+1=2

Like? Yes (1) | No   

Gunaseelan   13 years AGO

Let the Number be x;
Given x+(1/x)=2;
(x*x)-(2*x)+1=0;
Therefore(x-1)^2=0;
Therefore x=1;

Like? Yes (1) | No   

ARKA GANGULY   13 years AGO

Let the no. be x.
So, x+(1/x)= 2,
then, (x^2+1)/x=2,
or, x^2+1=2x,
or, x^2-2x+1=0,
or, (x-1)^2=0,
or, x-1=0
or, x=1 and (1/x)=1
So, x-(1/x)=1-1=0..... Option 10)

Like? Yes (1) | No   

samir    13 years AGO

Let the no. be x.
So, x+(1/x)= 2,
then, (x^2+1)/x=2,
or, x^2+1=2x,
or, x^2-2x+1=0,
or, (x-1)^2=0,
or, x-1=0
or, x=1 and (1/x)=1
So, x-(1/x)=1-1=0..... Option 10)

Like? Yes (1) | No   

Achelal Sharma   13 years AGO

solving x+1/x=2 we get x=1,1 so the diff is 0

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Ankit Pandey   13 years AGO

x+1/x=2
x=1
1-1/1=0 ans.

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Ranji   13 years AGO

x+1/x=2 => x^2-2x+1=0 => apply 1,it gives 0
so, x-1/x=? => 1-1/1=0

ans is 0

Like? Yes (1) | No