(6u^2-14u)/(2u^2-8u)

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Solution for (6u^2-14u)/(2u^2-8u) equation:


D( u )

2*u^2-(8*u) = 0

2*u^2-(8*u) = 0

2*u^2-(8*u) = 0

2*u^2-8*u = 0

2*u^2-8*u = 0

DELTA = (-8)^2-(0*2*4)

DELTA = 64

DELTA > 0

u = (64^(1/2)+8)/(2*2) or u = (8-64^(1/2))/(2*2)

u = 4 or u = 0

u in (-oo:0) U (0:4) U (4:+oo)

(6*u^2-(14*u))/(2*u^2-(8*u)) = 0

(6*u^2-14*u)/(2*u^2-8*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^2-8*u = 0

2*u*(u-4) = 0

u-4 = 0 // + 4

u = 4

2*u*(u-4) = 0

(2*u*(u-7/3))/(2*u*(u-4)) = 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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