9/k-7=6k

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Solution for 9/k-7=6k equation:


D( k )

k = 0

k = 0

k = 0

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

9/k-7 = 6*k // - 6*k

9/k-(6*k)-7 = 0

9/k-6*k-7 = 0

9*k^-1-6*k^1-7*k^0 = 0

(9*k^0-6*k^2-7*k^1)/(k^1) = 0 // * k^2

k^1*(9*k^0-6*k^2-7*k^1) = 0

k^1

9-6*k^2-7*k = 0

9-6*k^2-7*k = 0

DELTA = (-7)^2-(-6*4*9)

DELTA = 265

DELTA > 0

k = (265^(1/2)+7)/(-6*2) or k = (7-265^(1/2))/(-6*2)

k = (265^(1/2)+7)/(-12) or k = (7-265^(1/2))/(-12)

k in { (265^(1/2)+7)/(-12), (7-265^(1/2))/(-12)}

k in { (265^(1/2)+7)/(-12), (7-265^(1/2))/(-12) }

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