(5-6m)/m^2-9

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Solution for (5-6m)/m^2-9 equation: 


D( m )

m^2 = 0

m^2 = 0

m^2 = 0

1*m^2 = 0 // : 1

m^2 = 0

m = 0

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

(5-(6*m))/(m^2)-9 = 0

(5-6*m)/(m^2)-9 = 0

(5-6*m)/(m^2)+(-9*m^2)/(m^2) = 0

5-9*m^2-6*m = 0

5-9*m^2-6*m = 0

5-9*m^2-6*m = 0

DELTA = (-6)^2-(-9*4*5)

DELTA = 216

DELTA > 0

m = (216^(1/2)+6)/(-9*2) or m = (6-216^(1/2))/(-9*2)

m = (6*6^(1/2)+6)/(-18) or m = (6-6*6^(1/2))/(-18)

(m-((6*6^(1/2)+6)/(-18)))*(m-((6-6*6^(1/2))/(-18))) = 0

((m-((6*6^(1/2)+6)/(-18)))*(m-((6-6*6^(1/2))/(-18))))/(m^2) = 0

((m-((6*6^(1/2)+6)/(-18)))*(m-((6-6*6^(1/2))/(-18))))/(m^2) = 0 // * m^2

(m-((6*6^(1/2)+6)/(-18)))*(m-((6-6*6^(1/2))/(-18))) = 0

( m-((6*6^(1/2)+6)/(-18)) )

m-((6*6^(1/2)+6)/(-18)) = 0 // + (6*6^(1/2)+6)/(-18)

m = (6*6^(1/2)+6)/(-18)

( m-((6-6*6^(1/2))/(-18)) )

m-((6-6*6^(1/2))/(-18)) = 0 // + (6-6*6^(1/2))/(-18)

m = (6-6*6^(1/2))/(-18)

m in { (6*6^(1/2)+6)/(-18), (6-6*6^(1/2))/(-18) }

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