(2m^3-7m^2+2m+3)/(m-1)

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Solution for (2m^3-7m^2+2m+3)/(m-1) equation:


D( m )

m-1 = 0

m-1 = 0

m-1 = 0

m-1 = 0 // + 1

m = 1

m in (-oo:1) U (1:+oo)

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

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

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

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

{ 1, -1, 3, -3 }

1

m = 1

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

1

m-1

2*m^2-5*m-3

2*m^3-7*m^2+2*m+3

m-1

2*m^2-2*m^3

2*m-5*m^2+3

5*m^2-5*m

3-3*m

3*m-3

0

2*m^2-5*m-3 = 0

DELTA = (-5)^2-(-3*2*4)

DELTA = 49

DELTA > 0

m = (49^(1/2)+5)/(2*2) or m = (5-49^(1/2))/(2*2)

m = 3 or m = -1/2

m in { -1/2, 3, 1}

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

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

( m+1/2 )

m+1/2 = 0 // - 1/2

m = -1/2

( m-3 )

m-3 = 0 // + 3

m = 3

m in { -1/2, 3 }

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