Q11 of 168 Page 7

The sum of a number and its reciprocal is . Find the number.

Let the number be ‘X’, so the reciprocal will be ’’.

On simplifying further,

3 + 3X² = 10X

3X² – 10X + 3 = 0

On applying Sreedhracharya formula

∴ X = 3 or

Then other numbers will be & 3

∴ The numbers are 3 or

The difference of squares of two natural numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.

The difference of two numbers is 5 and the difference of their reciprocals is Find the numbers.

Divide 12 into two parts such that the sum of their squares is 74.

The sum of the squares of two consecutive natural numbers is 421. Find the numbers.