Question

please answer fast plz​

Answer 1

ANSWER :

We have

(x + 3)/(x - 2) - (1 - x)/x = 17/4

⇒ x(x + 3) - (1 - x) (x - 2)/x(x - 2) = 17/4

⇒ 2x² + 2/x² - 2x = 17/4

⇒ 8x² + 8 = 17x² - 34x

⇒ 9x² - 34x - 8 = 0

By using factorization method, we get

⇒ 9x² - 36x + 2x - 8 = 0

⇒ 9x(x - 4) + 2(x - 4) = 0

⇒ (x - 4) (9x + 2) = 0

⇒ x - 4 = 0 or 9x + 2 = 0

⇒ x = 4, - 2/9 (As x can't be negative)

⇒ x = 4

But here, x = 4, - 2/9

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