Question

The difference between a number and its reciprocal is 7/12.Find the number.

Answer 1

Answer:

Let the number be a ,so its reciprocal is (1/a)

Multiplying both sides by 12a we get,

So a - (1/a) = 7/12

12(a^2) - 12 = 7a

12(a^2) - 7a - 12 =0

Now solve for a.

so a - (1/a) =(7/12)

Multiply both sides from 12a to get,

12(a^2) - 12 =7a

Answer 2

Let the number be a ,so its reciprocal is (1/a)

Multiplying both sides by 12a we get,

So a - (1/a) = 7/12

12(a^2) - 12 = 7a

12(a^2) - 7a - 12 =0

Now solve for a.