solve by factorisation

Asked by waarisqazi | 17th Oct, 2014, 07:38: PM

Expert Answer:

W e space n e e d space t o space f a c t o r i z e : m over n x squared plus n over m equals 1 minus 2 x rightwards double arrow m squared x squared plus n squared equals m n minus 2 x m n rightwards double arrow m squared x squared plus 2 x m n plus n squared minus m n equals 0 S o l v e space t h e space a b o v e space e q u a t i o n space u sin g space q u a d r a t i c space f o r m u l a : x equals fraction numerator minus 2 m n plus-or-minus square root of 4 m squared n squared minus 4 m squared n squared plus 4 m cubed n end root over denominator 2 m squared end fraction rightwards double arrow x equals fraction numerator minus 2 m n plus-or-minus square root of 4 m cubed n end root over denominator 2 m squared end fraction rightwards double arrow x equals fraction numerator minus 2 m n plus-or-minus 2 m square root of m n end root over denominator 2 m squared end fraction rightwards double arrow x equals fraction numerator minus n plus-or-minus square root of m n end root over denominator m end fraction T h u s comma space w e space h a v e comma space m over n x squared plus n over m minus 1 plus 2 x equals open parentheses x minus fraction numerator n plus square root of m n end root over denominator m end fraction close parentheses open parentheses x minus fraction numerator n minus square root of m n end root over denominator m end fraction close parentheses

Answered by Vimala Ramamurthy | 18th Oct, 2014, 06:48: PM

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