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

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


D( a )

a-2 = 0

a-2 = 0

a-2 = 0

a-2 = 0 // + 2

a = 2

a in (-oo:2) U (2:+oo)

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

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

a^2-3*a-28 = 0

a^2-3*a-28 = 0

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

DELTA = 121

DELTA > 0

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

a = 7 or a = -4

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

((a+4)*(a-7))/(a-2) = 0

( a+4 )

a+4 = 0 // - 4

a = -4

( a-7 )

a-7 = 0 // + 7

a = 7

a in { -4, 7 }

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