Question

please solve this one.....
I will mark the best answer as brainliest.....​

Answer 1

Given

(x - 1/3)³ = x³ - x² + ax = 1/27

To find

Value of a

Solution

Here, let's find the value of x at first.

According to Question :

➻ (x - ⅓)³ = 1/27

• Cubing root on both sides.

➻ x - (⅓) = ³√(1/27)

➻ x - (⅓ = ⅓

➻ x = ⅓ + ⅓

➻ x = (1 + 1)/3

➻ x = ⅔

According to 2nd case :

➝ x³ - x² + ax = 1/27

• Putting value of x

➝ (⅔)³ - (⅔)² + a(⅔) = 1/27

➝ (8/27) - (4/9) + 2a/3 = 1/27

➝ (8/27) - (4/9) - (1/27) = -2a/3

➝ (8 - 12 - 1)/27 = -2a/3

➝ (8 - 13)/27 = -2a/3

➝ -5/27 = -2a/3

➝ 27(-2a) = 3(-5)

➝ -54a = -15

➝ a = -15/54

➝ a = 15/54

➝ a = 5/18

Therefore,

Required value of a = 5/18 .

Answer 2

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QUESTION :

please solve this one.....

please solve this one.....I will mark the best answer as brainliest.....

SOLUTION :

$\sf{ {(x - \dfrac{1}{ 3} )}^{3} } = {x}^{3} + {x}^{2} - \dfrac{x}{3} - \dfrac{1}{27}$

${x}^{3} + {x}^{2} - \dfrac{x}{3} - \dfrac{1}{27} \: => a = \dfrac{5}{18}$