(6u^2-14u)/(2u^2-16u)

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Solution for (6u^2-14u)/(2u^2-16u) equation: 


D( u )

2*u^2-(16*u) = 0

2*u^2-(16*u) = 0

2*u^2-(16*u) = 0

2*u^2-16*u = 0

2*u^2-16*u = 0

DELTA = (-16)^2-(0*2*4)

DELTA = 256

DELTA > 0

u = (256^(1/2)+16)/(2*2) or u = (16-256^(1/2))/(2*2)

u = 8 or u = 0

u in (-oo:0) U (0:8) U (8:+oo)

(6*u^2-(14*u))/(2*u^2-(16*u)) = 0

(6*u^2-14*u)/(2*u^2-16*u) = 0

6*u^2-14*u = 0

2*u*(3*u-7) = 0

3*u-7 = 0 // + 7

3*u = 7 // : 3

u = 7/3

2*u*(u-7/3) = 0

2*u^2-16*u = 0

2*u*(u-8) = 0

u-8 = 0 // + 8

u = 8

2*u*(u-8) = 0

(2*u*(u-7/3))/(2*u*(u-8)) = 0

( 2*u )

2*u = 0 // : 2

u = 0

( u-7/3 )

u-7/3 = 0 // + 7/3

u = 7/3

u in { 0} 

u = 7/3

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