y/y^2-2y-15-3/y+3

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Solution for y/y^2-2y-15-3/y+3 equation:


D( y )

y = 0

y^2 = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

y/(y^2)-(2*y)-(3/y)-15+3 = 0

y/(y^2)-2*y-3*y^-1-15+3 = 0

-2*y^1-2*y^-1-12*y^0 = 0

(-2*y^2-12*y^1-2*y^0)/(y^1) = 0 // * y^2

y^1*(-2*y^2-12*y^1-2*y^0) = 0

y^1

-2*y^2-12*y-2 = 0

-2*y^2-12*y-2 = 0

DELTA = (-12)^2-(-2*(-2)*4)

DELTA = 128

DELTA > 0

y = (128^(1/2)+12)/(-2*2) or y = (12-128^(1/2))/(-2*2)

y = (8*2^(1/2)+12)/(-4) or y = (12-8*2^(1/2))/(-4)

y in { (8*2^(1/2)+12)/(-4), (12-8*2^(1/2))/(-4)}

y in { (8*2^(1/2)+12)/(-4), (12-8*2^(1/2))/(-4) }

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