Problems based on Numbers Test 6

Question : 26 of 40

Marks: +1, -0

If the sum of an integer and its reciprocal is

10/ 3

, then the integer is equal to:

Solution:

Let the integer = x
Reciprocal of integer

= 1/ x

According to the statement,

x+1/x=10/3

{x^2+1}/x=10/3

3x^2+3=10x

3x^2-10x+3=0

3x^2-9x-x+3=0

3x(x-3)-1(x-3)=0

3x-1=0(\rejected),x-3=0

x=3

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