Question

35/x-1
+
35/x+1
= 12 find 'x'​

Answer 1

Answer:

x = -1 or x = 6

6

Step-by-step explanation:

35 + 35 = 12 (take LCM)

x - 1 x + 1

35(x + 1) + 35(x - 1) = 12

(x - 1)(x + 1)

35x + 35 + 35x - 35 = 12 ((x-1)(x+1) = x^2 - 1)

(x - 1)(x + 1)

70x = 12

x^2 - 1

70x = 12(x^2 - 1)

70x = 12x^2 - 12 (take 2 as common)

2(35x = 6x^2 - 6)

0 = 6x^2 - 35x -6 (by middle turm method)

6x^2 - 36x + 1x - 6 = 0

6x(x - 6) + 1(x - 6) = 0

(6x + 1)(x - 6) = 0

6x + 1 =0 and x - 6 = 0

x = -1 and x = 6

x = -1 and x = 6 6