125^2=100^2*(9+k)/k

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Solution for 125^2=100^2*(9+k)/k equation: 


D( k )

k = 0

k = 0

k = 0

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

125^2 = (100^2*(k+9))/k // - (100^2*(k+9))/k

125^2-((100^2*(k+9))/k) = 0

(-1*10000*(k+9))/k+15625 = 0

(-1*10000*(k+9))/k+(15625*k)/k = 0

15625*k-1*10000*(k+9) = 0

5625*k-90000 = 0

(5625*k-90000)/k = 0

(5625*k-90000)/k = 0 // * k

5625*k-90000 = 0

5625*k-90000 = 0 // + 90000

5625*k = 90000 // : 5625

k = 90000/5625

k = 16

k = 16

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