3-7m/(m^2-9)

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Solution for 3-7m/(m^2-9) equation: 


D( m )

m^2-9 = 0

m^2-9 = 0

m^2-9 = 0

1*m^2 = 9 // : 1

m^2 = 9

m^2 = 9 // ^ 1/2

abs(m) = 3

m = 3 or m = -3

m in (-oo:-3) U (-3:3) U (3:+oo)

3-((7*m)/(m^2-9)) = 0

3-7*m*(m^2-9)^-1 = 0

(-7*m)/(m^2-9)+3 = 0

(-7*m)/(m^2-9)+(3*(m^2-9))/(m^2-9) = 0

3*(m^2-9)-7*m = 0

3*m^2-7*m-27 = 0

3*m^2-7*m-27 = 0

3*m^2-7*m-27 = 0

DELTA = (-7)^2-(-27*3*4)

DELTA = 373

DELTA > 0

m = (373^(1/2)+7)/(2*3) or m = (7-373^(1/2))/(2*3)

m = (373^(1/2)+7)/6 or m = (7-373^(1/2))/6

(m-((7-373^(1/2))/6))*(m-((373^(1/2)+7)/6)) = 0

((m-((7-373^(1/2))/6))*(m-((373^(1/2)+7)/6)))/(m^2-9) = 0

((m-((7-373^(1/2))/6))*(m-((373^(1/2)+7)/6)))/(m^2-9) = 0 // * m^2-9

(m-((7-373^(1/2))/6))*(m-((373^(1/2)+7)/6)) = 0

( m-((373^(1/2)+7)/6) )

m-((373^(1/2)+7)/6) = 0 // + (373^(1/2)+7)/6

m = (373^(1/2)+7)/6

( m-((7-373^(1/2))/6) )

m-((7-373^(1/2))/6) = 0 // + (7-373^(1/2))/6

m = (7-373^(1/2))/6

m in { (373^(1/2)+7)/6, (7-373^(1/2))/6 }

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