Question

3 x ² + 21x + 4 / 3x² + 27x + 5 = x+7/x + 9​

Answer 1

Answer:

x = 1

Step-by-step explanation:

⇒ 3x ² + 21x + 4/3x² + 27x + 5 = x + 7/x + 9​

⇒ (x+9)(3x² + 21x + 4) = (x+7)(3x² + 27x + 5)

⇒ 3x³ + 21x² + 4x + 27x² + 189x + 36 = 3x³ + 27x² + 5x + 21x² + 189x + 35

By bringing the variable on one side ant the constants on the other side,

⇒ 3x³ - 3x³ +  21x² - 21x² - 27x² + 27x² + 4x - 5x + 189x  - 189x  =  + 35 - 36

⇒ 4x - 5x  =  + 35 - 36

⇒ -1x = -1

∴ x = 1