Question

Whosoever solve this first I am gonna mark them as the brainliest.

Using properties of proportion, solve for x

Answer 1

Step-by-step explanation:

Given (x3+3x) / (3x2+1) = 341 / 91. Apply the componendo and dividendo

⇒ (x3+3x) + (3x2+1)  / (x3+3x) - (3x2+1) = (341 + 91) / (341 - 91).

⇒ (x3 + 3x2 + 3x + 1)  / (x3- 3x2 +3x -1) = (341 + 91) / (341 - 91).

⇒ (x + 1)3 / (x - 1)3 = 432 / 250.

⇒ (x + 1)3 / (x - 1)3 = 216 / 125 .

⇒ (x + 1)3 / (x - 1)3 = 63 / 53 .

⇒ (x + 1) / (x - 1) = 6 / 5 .(again apply the componendo and dividendo)

⇒ (x + 1) + (x - 1)  /(x + 1) - (x - 1) = (6 + 5) / (6 - 5)

⇒ 2x / 2 = 11 / 1

∴ x = 11.