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Answer to Q149

What is the value of an integer, if the sum of the integer and its inverse is ⁴⁄₂?

Let the integer be x. So inverse of x is ¹⁄ₓ

:sum of the integer and its inverse is ⁴⁄₂
x + ¹⁄ₓ = ⁴⁄₂
x + ¹⁄ₓ can be rewritten as (x² + 1) ÷ x

(x² + 1) ÷ x = 2
x² + 1 = 2x
x² - 2x + 1 = 0
Using the quadratic formula
x = 2 ÷ 2
x = 1

Answer: 1

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486 viewsNov 20, 2021 at 06:58

Answer to Q149

What is the value of an integer, if the sum of the integer and its inverse is ⁴⁄₂?

Let the integer be x. So inverse of x is ¹⁄ₓ

:sum of the integer and its inverse is ⁴⁄₂
x + ¹⁄ₓ = ⁴⁄₂
x + ¹⁄ₓ can be rewritten as (x² + 1) ÷ x

(x² + 1) ÷ x = 2
x² + 1 = 2x
x² - 2x + 1 = 0
Using the quadratic formula
x = 2 ÷ 2
x = 1

Answer: 1

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