Solve factors for given equations, Mathematics

1/a+b+x  =1/a+1/b+1/x    a+b ≠ 0

Ans: 1/a+b+x  =1/a+1/b+1/x

=> 1/a+b+x -1/x = +1/a +1/b

⇒ x - (a + b + x)/x(a + b + x)   = + a + b/ ab

⇒(a+b){x(a+b+x)+ab}=0

⇒x(a+b+x)+ab=0

⇒x2 +ax+bx+ab=0

⇒(x+a)(x+b)=0

⇒x=-a    x=-b

 

Posted Date: 4/8/2013 3:14:17 AM | Location : United States







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