(u^2-5u-11)/(u^2-3u-10)=-1

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Solution for (u^2-5u-11)/(u^2-3u-10)=-1 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) = -1 // + 1

(u^2-(5*u)-11)/(u^2-(3*u)-10)+1 = 0

(u^2-5*u-11)/(u^2-3*u-10)+1 = 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+2)*(u-5) = 0

(u^2-5*u-11)/((u+2)*(u-5))+1 = 0

(u^2-5*u-11)/((u+2)*(u-5))+(1*(u+2)*(u-5))/((u+2)*(u-5)) = 0

1*(u+2)*(u-5)+u^2-5*u-11 = 0

2*u^2-8*u-21 = 0

2*u^2-8*u-21 = 0

2*u^2-8*u-21 = 0

DELTA = (-8)^2-(-21*2*4)

DELTA = 232

DELTA > 0

u = (232^(1/2)+8)/(2*2) or u = (8-232^(1/2))/(2*2)

u = (2*58^(1/2)+8)/4 or u = (8-2*58^(1/2))/4

(u-((8-2*58^(1/2))/4))*(u-((2*58^(1/2)+8)/4)) = 0

((u-((8-2*58^(1/2))/4))*(u-((2*58^(1/2)+8)/4)))/((u+2)*(u-5)) = 0

((u-((8-2*58^(1/2))/4))*(u-((2*58^(1/2)+8)/4)))/((u+2)*(u-5)) = 0 // * (u+2)*(u-5)

(u-((8-2*58^(1/2))/4))*(u-((2*58^(1/2)+8)/4)) = 0

( u-((2*58^(1/2)+8)/4) )

u-((2*58^(1/2)+8)/4) = 0 // + (2*58^(1/2)+8)/4

u = (2*58^(1/2)+8)/4

( u-((8-2*58^(1/2))/4) )

u-((8-2*58^(1/2))/4) = 0 // + (8-2*58^(1/2))/4

u = (8-2*58^(1/2))/4

u in { (2*58^(1/2)+8)/4, (8-2*58^(1/2))/4 }

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