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Make b the subject of the formula.

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x = a/√(a-b)(a+b)
x =  a/√(a2 -b2)
x2 = a2/(a2 - b2)
a2 = a2x2 - b2x2
b2x2 = a2x2 - a2
b2 = (a2x2 - a2 )/x2
b2 = a2 -  a/x2
b = ±√( a2 - a2/x2)

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