4k-10/k=8

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Solution for 4k-10/k=8 equation: 


D( k )

k = 0

k = 0

k = 0

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

4*k-(10/k) = 8 // - 8

4*k-(10/k)-8 = 0

4*k-10*k^-1-8 = 0

4*k^1-10*k^-1-8*k^0 = 0

(4*k^2-8*k^1-10*k^0)/(k^1) = 0 // * k^2

k^1*(4*k^2-8*k^1-10*k^0) = 0

k^1

4*k^2-8*k-10 = 0

4*k^2-8*k-10 = 0

DELTA = (-8)^2-(-10*4*4)

DELTA = 224

DELTA > 0

k = (224^(1/2)+8)/(2*4) or k = (8-224^(1/2))/(2*4)

k = (4*14^(1/2)+8)/8 or k = (8-4*14^(1/2))/8

k in { (8-4*14^(1/2))/8, (4*14^(1/2)+8)/8} 

k in { (8-4*14^(1/2))/8, (4*14^(1/2)+8)/8 }

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