35/x-1 + 35/x+1 =12 find 'x'
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35
+
x+1
35
=12
⇒35x+35+35x−35=12x
2
−12
⇒12x
2
−70x−12=0
⇒6x
2
−35x−6=0
⇒6x
2
−36x+x−6=0
⇒6x(x−6)+1(x−6)=0
⇒(x−6)(6x+1)=0
x−6=0⇒x=6
6x+1=0⇒x=
6
−1
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