(m2-9)/m-3

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Solution for (m2-9)/m-3 equation: 


D( m )

m = 0

m = 0

m = 0

m in (-oo:0) U (0:+oo)

(m^2-9)/m-3 = 0

(m^2-9)/m+(-3*m)/m = 0

m^2-3*m-9 = 0

m^2-3*m-9 = 0

m^2-3*m-9 = 0

DELTA = (-3)^2-(-9*1*4)

DELTA = 45

DELTA > 0

m = (45^(1/2)+3)/(1*2) or m = (3-45^(1/2))/(1*2)

m = (3*5^(1/2)+3)/2 or m = (3-3*5^(1/2))/2

(m-((3-3*5^(1/2))/2))*(m-((3*5^(1/2)+3)/2)) = 0

((m-((3-3*5^(1/2))/2))*(m-((3*5^(1/2)+3)/2)))/m = 0

((m-((3-3*5^(1/2))/2))*(m-((3*5^(1/2)+3)/2)))/m = 0 // * m

(m-((3-3*5^(1/2))/2))*(m-((3*5^(1/2)+3)/2)) = 0

( m-((3*5^(1/2)+3)/2) )

m-((3*5^(1/2)+3)/2) = 0 // + (3*5^(1/2)+3)/2

m = (3*5^(1/2)+3)/2

( m-((3-3*5^(1/2))/2) )

m-((3-3*5^(1/2))/2) = 0 // + (3-3*5^(1/2))/2

m = (3-3*5^(1/2))/2

m in { (3*5^(1/2)+3)/2, (3-3*5^(1/2))/2 }

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