9(k-7)=6/k

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Solution for 9(k-7)=6/k 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-7)-(6/k) = 0

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

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

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

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

9*k^2-63*k-6 = 0

9*k^2-63*k-6 = 0

3*(3*k^2-21*k-2) = 0

3*k^2-21*k-2 = 0

DELTA = (-21)^2-(-2*3*4)

DELTA = 465

DELTA > 0

k = (465^(1/2)+21)/(2*3) or k = (21-465^(1/2))/(2*3)

k = (465^(1/2)+21)/6 or k = (21-465^(1/2))/6

3*(k-((21-465^(1/2))/6))*(k-((465^(1/2)+21)/6)) = 0

(3*(k-((21-465^(1/2))/6))*(k-((465^(1/2)+21)/6)))/k = 0

(3*(k-((21-465^(1/2))/6))*(k-((465^(1/2)+21)/6)))/k = 0 // * k

3*(k-((21-465^(1/2))/6))*(k-((465^(1/2)+21)/6)) = 0

( k-((21-465^(1/2))/6) )

k-((21-465^(1/2))/6) = 0 // + (21-465^(1/2))/6

k = (21-465^(1/2))/6

( k-((465^(1/2)+21)/6) )

k-((465^(1/2)+21)/6) = 0 // + (465^(1/2)+21)/6

k = (465^(1/2)+21)/6

k in { (21-465^(1/2))/6, (465^(1/2)+21)/6 }

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