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

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


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

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

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

x^2-3*x-28 = 0

x^2-3*x-28 = 0

DELTA = (-3)^2-(-28*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+3)/(1*2) or x = (3-121^(1/2))/(1*2)

x = 7 or x = -4

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

((x+4)*(x-7))/(x-3) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -4, 7 }

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