4/5y-3/y=3/5

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Solution for 4/5y-3/y=3/5 equation:


D( y )

y = 0

y = 0

y = 0

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

(4/5)*y-(3/y) = 3/5 // - 3/5

(4/5)*y-(3/y)-(3/5) = 0

(4/5)*y-3*y^-1-3/5 = 0

4/5*y^1-3*y^-1-3/5*y^0 = 0

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

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

y^1

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

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

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

DELTA = 249/25

DELTA > 0

y = ((249/25)^(1/2)-(-3/5))/(2*(4/5)) or y = (-(-3/5)-(249/25)^(1/2))/(2*(4/5))

y = 5/8*((249/25)^(1/2)+3/5) or y = 5/8*(3/5-(249/25)^(1/2))

y in { 5/8*(3/5-(249/25)^(1/2)), 5/8*((249/25)^(1/2)+3/5)}

y in { 5/8*(3/5-(249/25)^(1/2)), 5/8*((249/25)^(1/2)+3/5) }

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