3/v-7/4v=4/5

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Solution for 3/v-7/4v=4/5 equation: 


D( v )

v = 0

v = 0

v = 0

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

3/v-((7/4)*v) = 4/5 // - 4/5

3/v-((7/4)*v)-(4/5) = 0

(-7/4)*v+3/v-4/5 = 0

3*v^-1-7/4*v^1-4/5*v^0 = 0

(3*v^0-7/4*v^2-4/5*v^1)/(v^1) = 0 // * v^2

v^1*(3*v^0-7/4*v^2-4/5*v^1) = 0

v^1

(-7/4)*v^2+(-4/5)*v+3 = 0

(-7/4)*v^2+(-4/5)*v+3 = 0

DELTA = (-4/5)^2-(3*4*(-7/4))

DELTA = 541/25

DELTA > 0

v = ((541/25)^(1/2)-(-4/5))/(2*(-7/4)) or v = (-(-4/5)-(541/25)^(1/2))/(2*(-7/4))

v = -2/7*((541/25)^(1/2)+4/5) or v = -2/7*(4/5-(541/25)^(1/2))

v in { -2/7*((541/25)^(1/2)+4/5), -2/7*(4/5-(541/25)^(1/2))} 

v in { -2/7*((541/25)^(1/2)+4/5), -2/7*(4/5-(541/25)^(1/2)) }

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