-3/w-5=-1/(2w-10)+2

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Solution for -3/w-5=-1/(2w-10)+2 equation:


D( w )

2*w-10 = 0

w = 0

2*w-10 = 0

2*w-10 = 0

2*w-10 = 0 // + 10

2*w = 10 // : 2

w = 10/2

w = 5

w = 0

w = 0

w in (-oo:0) U (0:5) U (5:+oo)

-3/w-5 = 2-1/(2*w-10) // - 2-1/(2*w-10)

-(-1/(2*w-10))-3/w-5-2 = 0

(2*w-10)^-1-3/w-5-2 = 0

1/(2*w-10)-3/w-5-2 = 0

w/(w*(2*w-10))+(-3*(2*w-10))/(w*(2*w-10))+(-5*w*(2*w-10))/(w*(2*w-10))+(-2*w*(2*w-10))/(w*(2*w-10)) = 0

w-3*(2*w-10)-5*w*(2*w-10)-2*w*(2*w-10) = 0

50*w-10*w^2-4*w^2-5*w+20*w+30 = 0

45*w-10*w^2-4*w^2+20*w+30 = 0

65*w-14*w^2+30 = 0

65*w-14*w^2+30 = 0

65*w-14*w^2+30 = 0

DELTA = 65^2-(-14*4*30)

DELTA = 5905

DELTA > 0

w = (5905^(1/2)-65)/(-14*2) or w = (-5905^(1/2)-65)/(-14*2)

w = (5905^(1/2)-65)/(-28) or w = (5905^(1/2)+65)/28

(w-((5905^(1/2)-65)/(-28)))*(w-((5905^(1/2)+65)/28)) = 0

((w-((5905^(1/2)-65)/(-28)))*(w-((5905^(1/2)+65)/28)))/(w*(2*w-10)) = 0

((w-((5905^(1/2)-65)/(-28)))*(w-((5905^(1/2)+65)/28)))/(w*(2*w-10)) = 0 // * w*(2*w-10)

(w-((5905^(1/2)-65)/(-28)))*(w-((5905^(1/2)+65)/28)) = 0

( w-((5905^(1/2)+65)/28) )

w-((5905^(1/2)+65)/28) = 0 // + (5905^(1/2)+65)/28

w = (5905^(1/2)+65)/28

( w-((5905^(1/2)-65)/(-28)) )

w-((5905^(1/2)-65)/(-28)) = 0 // + (5905^(1/2)-65)/(-28)

w = (5905^(1/2)-65)/(-28)

w in { (5905^(1/2)+65)/28, (5905^(1/2)-65)/(-28) }

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