(8m)/(2(m^2-6))=2

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Solution for (8m)/(2(m^2-6))=2 equation: 


D( m )

2*(m^2-6) = 0

2*(m^2-6) = 0

2*(m^2-6) = 0

( 2 )

2 = 0

m belongs to the empty set

( m^2-6 )

1*m^2 = 6 // : 1

m^2 = 6

m^2 = 6 // ^ 1/2

abs(m) = 6^(1/2)

m = 6^(1/2) or m = -6^(1/2)

m in (-oo:-6^(1/2)) U (-6^(1/2):6^(1/2)) U (6^(1/2):+oo)

(8*m)/(2*(m^2-6)) = 2 // - 2

(8*m)/(2*(m^2-6))-2 = 0

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

8*m-2*2*(m^2-6) = 0

8*m-4*m^2+24 = 0

8*m-4*m^2+24 = 0

4*(2*m-m^2+6) = 0

2*m-m^2+6 = 0

DELTA = 2^2-(-1*4*6)

DELTA = 28

DELTA > 0

m = (28^(1/2)-2)/(-1*2) or m = (-28^(1/2)-2)/(-1*2)

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

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

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

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

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

( 4 )

4 = 0

m belongs to the empty set

( m-((-2*7^(1/2)-2)/(-2)) )

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

m = (-2*7^(1/2)-2)/(-2)

( m-((2*7^(1/2)-2)/(-2)) )

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

m = (2*7^(1/2)-2)/(-2)

m in { (-2*7^(1/2)-2)/(-2), (2*7^(1/2)-2)/(-2) }

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