Question

Is the answer correct????plz tell​

Answer 1

Answer:

x = 7,-9

Step-by-step explanation:

Given: (1/x - 3) - (1/x + 5) = 1/6

LCM = 6(x - 3)(x + 5)

⇒ 6(x + 5) - 6(x - 3) = (x - 3)(x + 5)

⇒ 6x + 30 - 6x + 18 = x² + 5x - 3x - 15

⇒ 48 = x² + 2x - 15

⇒ x² + 2x - 63 = 0

⇒ x² + 9x - 7x - 63 = 0

⇒ x(x + 9) - 7(x + 9) = 0

⇒ (x - 7)(x + 9) = 0

⇒ x = 7,-9

Hope it helps!