x^2/(x+14)=11

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Solution for x^2/(x+14)=11 equation: 


D( x )

x+14 = 0

x+14 = 0

x+14 = 0

x+14 = 0 // - 14

x = -14

x in (-oo:-14) U (-14:+oo)

(x^2)/(x+14) = 11 // - 11

(x^2)/(x+14)-11 = 0

(x^2)/(x+14)+(-11*(x+14))/(x+14) = 0

x^2-11*(x+14) = 0

x^2-11*x-154 = 0

x^2-11*x-154 = 0

x^2-11*x-154 = 0

DELTA = (-11)^2-(-154*1*4)

DELTA = 737

DELTA > 0

x = (737^(1/2)+11)/(1*2) or x = (11-737^(1/2))/(1*2)

x = (737^(1/2)+11)/2 or x = (11-737^(1/2))/2

(x-((11-737^(1/2))/2))*(x-((737^(1/2)+11)/2)) = 0

((x-((11-737^(1/2))/2))*(x-((737^(1/2)+11)/2)))/(x+14) = 0

((x-((11-737^(1/2))/2))*(x-((737^(1/2)+11)/2)))/(x+14) = 0 // * x+14

(x-((11-737^(1/2))/2))*(x-((737^(1/2)+11)/2)) = 0

( x-((11-737^(1/2))/2) )

x-((11-737^(1/2))/2) = 0 // + (11-737^(1/2))/2

x = (11-737^(1/2))/2

( x-((737^(1/2)+11)/2) )

x-((737^(1/2)+11)/2) = 0 // + (737^(1/2)+11)/2

x = (737^(1/2)+11)/2

x in { (11-737^(1/2))/2, (737^(1/2)+11)/2 }

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