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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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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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The Singapore stock market has alternated between positive and negative finishes through the last five trading days since the end of the two-day winning streak in which it had added more than a dozen points or 0.4 percent. The Straits Times Index now sits just above the 3,060-point plateau and it's likely to see a narrow trading range on Monday.

The SSE was the first modern stock exchange to open in China, with trading commencing in 1990. It has now grown to become the largest stock exchange in Asia and the third-largest in the world by market capitalization, which stood at RMB 50.6 trillion (US$7.8 trillion) as of September 2021. Stocks (both A-shares and B-shares), bonds, funds, and derivatives are traded on the exchange. The SEE has two trading boards, the Main Board and the Science and Technology Innovation Board, the latter more commonly known as the STAR Market. The Main Board mainly hosts large, well-established Chinese companies and lists both A-shares and B-shares.

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