(a^2-6-3a)/(4+a)

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Solution for (a^2-6-3a)/(4+a) equation:


D( a )

a+4 = 0

a+4 = 0

a+4 = 0

a+4 = 0 // - 4

a = -4

a in (-oo:-4) U (-4:+oo)

(a^2-(3*a)-6)/(a+4) = 0

(a^2-3*a-6)/(a+4) = 0

a^2-3*a-6 = 0

a^2-3*a-6 = 0

DELTA = (-3)^2-(-6*1*4)

DELTA = 33

DELTA > 0

a = (33^(1/2)+3)/(1*2) or a = (3-33^(1/2))/(1*2)

a = (33^(1/2)+3)/2 or a = (3-33^(1/2))/2

(a-((3-33^(1/2))/2))*(a-((33^(1/2)+3)/2)) = 0

((a-((3-33^(1/2))/2))*(a-((33^(1/2)+3)/2)))/(a+4) = 0

( a-((3-33^(1/2))/2) )

a-((3-33^(1/2))/2) = 0 // + (3-33^(1/2))/2

a = (3-33^(1/2))/2

( a-((33^(1/2)+3)/2) )

a-((33^(1/2)+3)/2) = 0 // + (33^(1/2)+3)/2

a = (33^(1/2)+3)/2

a in { (3-33^(1/2))/2, (33^(1/2)+3)/2 }

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