(x^2-3x-17)/(x-7)

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Solution for (x^2-3x-17)/(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

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

(x^2-(3*x)-17)/(x-7) = 0

(x^2-3*x-17)/(x-7) = 0

x^2-3*x-17 = 0

x^2-3*x-17 = 0

DELTA = (-3)^2-(-17*1*4)

DELTA = 77

DELTA > 0

x = (77^(1/2)+3)/(1*2) or x = (3-77^(1/2))/(1*2)

x = (77^(1/2)+3)/2 or x = (3-77^(1/2))/2

(x-((3-77^(1/2))/2))*(x-((77^(1/2)+3)/2)) = 0

((x-((3-77^(1/2))/2))*(x-((77^(1/2)+3)/2)))/(x-7) = 0

( x-((3-77^(1/2))/2) )

x-((3-77^(1/2))/2) = 0 // + (3-77^(1/2))/2

x = (3-77^(1/2))/2

( x-((77^(1/2)+3)/2) )

x-((77^(1/2)+3)/2) = 0 // + (77^(1/2)+3)/2

x = (77^(1/2)+3)/2

x in { (3-77^(1/2))/2, (77^(1/2)+3)/2 }

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