8/v+5=-3/5v+25

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Solution for 8/v+5=-3/5v+25 equation: 


D( v )

v = 0

v = 0

v = 0

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

8/v+5 = (-3/5)*v+25 // - (-3/5)*v+25

8/v-((-3/5)*v)-25+5 = 0

(3/5)*v+8/v-25+5 = 0

3/5*v^1+8*v^-1-20*v^0 = 0

(3/5*v^2-20*v^1+8*v^0)/(v^1) = 0 // * v^2

v^1*(3/5*v^2-20*v^1+8*v^0) = 0

v^1

(3/5)*v^2-20*v+8 = 0

(3/5)*v^2-20*v+8 = 0

DELTA = (-20)^2-(4*8*(3/5))

DELTA = 1904/5

DELTA > 0

v = ((1904/5)^(1/2)+20)/(2*(3/5)) or v = (20-(1904/5)^(1/2))/(2*(3/5))

v = 5/6*((1904/5)^(1/2)+20) or v = 5/6*(20-(1904/5)^(1/2))

v in { 5/6*(20-(1904/5)^(1/2)), 5/6*((1904/5)^(1/2)+20)} 

v in { 5/6*(20-(1904/5)^(1/2)), 5/6*((1904/5)^(1/2)+20) }

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