-(8/v+5)=(3/5v+25)+1

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Solution for -(8/v+5)=(3/5v+25)+1 equation:


D( v )

v = 0

v = 0

v = 0

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

-(8/v+5) = (3/5)*v+1+25 // - (3/5)*v+1+25

-((3/5)*v)-(8/v)-25-5-1 = 0

(-3/5)*v-8*v^-1-25-5-1 = 0

-3/5*v^1-8*v^-1-31*v^0 = 0

(-3/5*v^2-31*v^1-8*v^0)/(v^1) = 0 // * v^2

v^1*(-3/5*v^2-31*v^1-8*v^0) = 0

v^1

(-3/5)*v^2-31*v-8 = 0

(-3/5)*v^2-31*v-8 = 0

DELTA = (-31)^2-(-8*4*(-3/5))

DELTA = 4709/5

DELTA > 0

v = ((4709/5)^(1/2)+31)/(2*(-3/5)) or v = (31-(4709/5)^(1/2))/(2*(-3/5))

v = -5/6*((4709/5)^(1/2)+31) or v = -5/6*(31-(4709/5)^(1/2))

v in { -5/6*((4709/5)^(1/2)+31), -5/6*(31-(4709/5)^(1/2))}

v in { -5/6*((4709/5)^(1/2)+31), -5/6*(31-(4709/5)^(1/2)) }

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