(5k^2-4k-1/5k^2-12k-7)

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Solution for (5k^2-4k-1/5k^2-12k-7) equation:


k in (-oo:+oo)

5*k^2-((1/5)*k^2)-(4*k)-(12*k)-7 = 0

5*k^2+(-1/5)*k^2-4*k-12*k-7 = 0

24/5*k^2-16*k-7 = 0

DELTA = (-16)^2-(-7*4*24/5)

DELTA = 1952/5

DELTA > 0

k = ((1952/5)^(1/2)+16)/(2*24/5) or k = (16-(1952/5)^(1/2))/(2*24/5)

k = 5/48*((1952/5)^(1/2)+16) or k = 5/48*(16-(1952/5)^(1/2))

k in { 5/48*(16-(1952/5)^(1/2)), 5/48*((1952/5)^(1/2)+16) }

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