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Solve for x : 1/a+b+c = …

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Solve for x : 1/a+b+c = 1/a+1/b+1/x
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ON solving the above equation we have a quadratic equation   (a+b)x^2+(a+b)^2x+ab(a+b) on solving the above equation by formula -b+root over(b^2-4ac) and -b-root over(b^2-4ac) we got -a and -b as roots.
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