1/5=e^3K/e^10K

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Solution for 1/5=e^3K/e^10K equation: 


D( K )

e^10 = 0

e^10 = 0

e^10 = 0

e^10 = 0

K belongs to the empty set

K in (-oo:+oo)

1/5 = ((e^3*K)/(e^10))*K // - ((e^3*K)/(e^10))*K

1/5-(((e^3*K)/(e^10))*K) = 0

1/5-(e^-7*K^2) = 0

-e^-7*K^2 = -1/5 // : -e^-7

K^2 = 1/5/(e^-7)

K^2 = 1/5/(e^-7) // ^ 1/2

abs(K) = ((1/5)^(1/2))/(e^(-7/2))

K = ((1/5)^(1/2))/(e^(-7/2)) or K = -(((1/5)^(1/2))/(e^(-7/2)))

K in { ((1/5)^(1/2))/(e^(-7/2)), -(((1/5)^(1/2))/(e^(-7/2))) }

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