35/x-1
+
35/x+1
= 12 find 'x'
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0
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
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