(u^2-5u-11)/(u^2-3u-10)

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Solution for (u^2-5u-11)/(u^2-3u-10) equation: 


D( u )

u^2-(3*u)-10 = 0

u^2-(3*u)-10 = 0

u^2-(3*u)-10 = 0

u^2-3*u-10 = 0

u^2-3*u-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

u = (49^(1/2)+3)/(1*2) or u = (3-49^(1/2))/(1*2)

u = 5 or u = -2

u in (-oo:-2) U (-2:5) U (5:+oo)

(u^2-(5*u)-11)/(u^2-(3*u)-10) = 0

(u^2-5*u-11)/(u^2-3*u-10) = 0

u^2-5*u-11 = 0

u^2-5*u-11 = 0

DELTA = (-5)^2-(-11*1*4)

DELTA = 69

DELTA > 0

u = (69^(1/2)+5)/(1*2) or u = (5-69^(1/2))/(1*2)

u = (69^(1/2)+5)/2 or u = (5-69^(1/2))/2

(u-((5-69^(1/2))/2))*(u-((69^(1/2)+5)/2)) = 0

u^2-3*u-10 = 0

u^2-3*u-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

u = (49^(1/2)+3)/(1*2) or u = (3-49^(1/2))/(1*2)

u = 5 or u = -2

(u+2)*(u-5) = 0

((u-((5-69^(1/2))/2))*(u-((69^(1/2)+5)/2)))/((u+2)*(u-5)) = 0

( u-((5-69^(1/2))/2) )

u-((5-69^(1/2))/2) = 0 // + (5-69^(1/2))/2

u = (5-69^(1/2))/2

( u-((69^(1/2)+5)/2) )

u-((69^(1/2)+5)/2) = 0 // + (69^(1/2)+5)/2

u = (69^(1/2)+5)/2

u in { (5-69^(1/2))/2, (69^(1/2)+5)/2 }

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