(k^2+48k-12)/6k

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Solution for (k^2+48k-12)/6k equation:


k in (-oo:+oo)

k*((k^2+48*k-12)/6) = 0

(k*(k^2+48*k-12))/6 = 0

k^2+48*k-12 = 0

k^2+48*k-12 = 0

DELTA = 48^2-(-12*1*4)

DELTA = 2352

DELTA > 0

k = (2352^(1/2)-48)/(1*2) or k = (-2352^(1/2)-48)/(1*2)

k = (28*3^(1/2)-48)/2 or k = (-28*3^(1/2)-48)/2

(k-((-28*3^(1/2)-48)/2))*(k-((28*3^(1/2)-48)/2)) = 0

(k*(k-((-28*3^(1/2)-48)/2))*(k-((28*3^(1/2)-48)/2)))/6 = 0

( k-((-28*3^(1/2)-48)/2) )

k-((-28*3^(1/2)-48)/2) = 0 // + (-28*3^(1/2)-48)/2

k = (-28*3^(1/2)-48)/2

( k-((28*3^(1/2)-48)/2) )

k-((28*3^(1/2)-48)/2) = 0 // + (28*3^(1/2)-48)/2

k = (28*3^(1/2)-48)/2

( k )

k = 0

k in { (-28*3^(1/2)-48)/2, (28*3^(1/2)-48)/2, 0 }

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