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answered 2012-11-05 09:43:40 +0100
Squaring equations may lead to wrong solutions but if you need the solution given in Wolframalpha you can do:
var('a b c') ; eq=a == b - sqrt(b^2 - 1/4*c^2) solve((eq-b)^2,b) [b == 1/8*(4*a^2 + c^2)/a]