(x^2-x-3)/(x^2-11x+28)

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Solution for (x^2-x-3)/(x^2-11x+28) equation: 


D( x )

x^2-(11*x)+28 = 0

x^2-(11*x)+28 = 0

x^2-(11*x)+28 = 0

x^2-11*x+28 = 0

x^2-11*x+28 = 0

DELTA = (-11)^2-(1*4*28)

DELTA = 9

DELTA > 0

x = (9^(1/2)+11)/(1*2) or x = (11-9^(1/2))/(1*2)

x = 7 or x = 4

x in (-oo:4) U (4:7) U (7:+oo)

(x^2-x-3)/(x^2-(11*x)+28) = 0

(x^2-x-3)/(x^2-11*x+28) = 0

x^2-x-3 = 0

x^2-x-3 = 0

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

DELTA = 13

DELTA > 0

x = (13^(1/2)+1)/(1*2) or x = (1-13^(1/2))/(1*2)

x = (13^(1/2)+1)/2 or x = (1-13^(1/2))/2

(x-((1-13^(1/2))/2))*(x-((13^(1/2)+1)/2)) = 0

x^2-11*x+28 = 0

x^2-11*x+28 = 0

DELTA = (-11)^2-(1*4*28)

DELTA = 9

DELTA > 0

x = (9^(1/2)+11)/(1*2) or x = (11-9^(1/2))/(1*2)

x = 7 or x = 4

(x-4)*(x-7) = 0

((x-((1-13^(1/2))/2))*(x-((13^(1/2)+1)/2)))/((x-4)*(x-7)) = 0

( x-((1-13^(1/2))/2) )

x-((1-13^(1/2))/2) = 0 // + (1-13^(1/2))/2

x = (1-13^(1/2))/2

( x-((13^(1/2)+1)/2) )

x-((13^(1/2)+1)/2) = 0 // + (13^(1/2)+1)/2

x = (13^(1/2)+1)/2

x in { (1-13^(1/2))/2, (13^(1/2)+1)/2 }

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