k=(100-x)/x

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Solution for k=(100-x)/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

k = (100-x)/x // - (100-x)/x

k-((100-x)/x) = 0

(-1*(100-x))/x+k = 0

(-1*(100-x))/x+(k*x)/x = 0

k*x-1*(100-x) = 0

k*x+x-100 = 0

k*x+x-100 = 0

k*x-100 = 0 // + 100

k*x = 100 // : k

x = 100/k

x-100*k^-1 = 0

(x-100*k^-1)/x = 0

(x-100*k^-1)/x = 0 // * x

x-100*k^-1 = 0

x-100*k^-1 = 0 // + -100*k^-1

x = -(-100*k^-1)

x = 100*k^-1

x = 100*k^-1

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