(a^2-3a-7)/(a-2)

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Solution for (a^2-3a-7)/(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)-7)/(a-2) = 0

(a^2-3*a-7)/(a-2) = 0

a^2-3*a-7 = 0

a^2-3*a-7 = 0

DELTA = (-3)^2-(-7*1*4)

DELTA = 37

DELTA > 0

a = (37^(1/2)+3)/(1*2) or a = (3-37^(1/2))/(1*2)

a = (37^(1/2)+3)/2 or a = (3-37^(1/2))/2

(a-((3-37^(1/2))/2))*(a-((37^(1/2)+3)/2)) = 0

((a-((3-37^(1/2))/2))*(a-((37^(1/2)+3)/2)))/(a-2) = 0

( a-((3-37^(1/2))/2) )

a-((3-37^(1/2))/2) = 0 // + (3-37^(1/2))/2

a = (3-37^(1/2))/2

( a-((37^(1/2)+3)/2) )

a-((37^(1/2)+3)/2) = 0 // + (37^(1/2)+3)/2

a = (37^(1/2)+3)/2

a in { (3-37^(1/2))/2, (37^(1/2)+3)/2 }

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