(m^2-8+16)/(5m^2+m)

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Solution for (m^2-8+16)/(5m^2+m) equation: 


D( m )

5*m^2+m = 0

5*m^2+m = 0

5*m^2+m = 0

5*m^2+m = 0

DELTA = 1^2-(0*4*5)

DELTA = 1

DELTA > 0

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

m = 0 or m = -1/5

m in (-oo:-1/5) U (-1/5:0) U (0:+oo)

(m^2-8+16)/(5*m^2+m) = 0

(m^2+8)/(5*m^2+m) = 0

5*m^2+m = 0

m*(5*m+1) = 0

5*m+1 = 0 // - 1

5*m = -1 // : 5

m = -1/5

m*(m+1/5) = 0

(m^2+8)/(m*(m+1/5)) = 0

1*m^2 = -8 // : 1

m^2 = -8

m belongs to the empty set

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