Question

19 *{(-3) +7} = 19 x (-3) + 19 x 7​

Answer 1

Answer:

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Answer: +77½, -77½ or ±8.775

Solution:

Given, x+1/x = 9 , Squaring both sides

(x+1/x)² = 81 ……………………………………………………..(1)

Now we have

(x- 1/x)² = x² - 2.x.1/x + (1/x)² = x² - 2+ 1/x²

Or, (x- 1/x)² = x² + 2 -2 - 2+ 1/x² (Adding and subtracting 2)

Or, (x- 1/x)² = x² + 2.1 - 4+ 1/x² = x² + 2.x.1/x - 4+ 1/x²

= (x² + 2.x.1/x + 1/x²) - 4 = (x+1/x)² - 4

Substituting for (x+1/x)² from (1),

(x- 1/x)² = 81 - 4 = 77 , Taking square root of both sides

⇒ x- 1/x = ±77½ or ±8.775 (rounded to third decimal) (Answer)

Answer 2

Explanation:

19 *{(-3) +7} = 19 x (-3) + 19 x 7

Solution:

19×4=19×(-3)+19×7

76= -57+133

76=76

L.H.S = R.H.S Hence verified.

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