(m-6)/m+1/2m=1/4m

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Solution for (m-6)/m+1/2m=1/4m equation: 


D( m )

m = 0

m = 0

m = 0

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

(m-6)/m+(1/2)*m = (1/4)*m // - (1/4)*m

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

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

(m-6)/m+m/2-m/4 = 0

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

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

4*m^2-2*m^2+8*m-48 = 0

2*m^2+8*m-48 = 0

2*m^2+8*m-48 = 0

2*(m^2+4*m-24) = 0

m^2+4*m-24 = 0

DELTA = 4^2-(-24*1*4)

DELTA = 112

DELTA > 0

m = (112^(1/2)-4)/(1*2) or m = (-112^(1/2)-4)/(1*2)

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

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

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

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

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

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

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

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

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

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

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

m in { (-4*7^(1/2)-4)/2, (4*7^(1/2)-4)/2 }

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