(4m)-7/(7m)-8

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Solution for (4m)-7/(7m)-8 equation: 


D( m )

7*m = 0

7*m = 0

7*m = 0

7*m = 0 // : 7

m = 0

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

4*m-(7/(7*m))-8 = 0

4*m-m^-1-8 = 0

4*m^1-1*m^-1-8*m^0 = 0

(4*m^2-8*m^1-1*m^0)/(m^1) = 0 // * m^2

m^1*(4*m^2-8*m^1-1*m^0) = 0

m^1

4*m^2-8*m-1 = 0

4*m^2-8*m-1 = 0

DELTA = (-8)^2-(-1*4*4)

DELTA = 80

DELTA > 0

m = (80^(1/2)+8)/(2*4) or m = (8-80^(1/2))/(2*4)

m = (4*5^(1/2)+8)/8 or m = (8-4*5^(1/2))/8

m in { (8-4*5^(1/2))/8, (4*5^(1/2)+8)/8} 

m in { (8-4*5^(1/2))/8, (4*5^(1/2)+8)/8 }

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