8/y-6/y2

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Solution for 8/y-6/y2 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)

8/y-(6/(y^2)) = 0

8/y-6*y^-2 = 0

8*y^-1-6*y^-2 = 0

t_1 = y^-1

8*t_1^1-6*t_1^2 = 0

8*t_1-6*t_1^2 = 0

DELTA = 8^2-(-6*0*4)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)-8)/(-6*2) or t_1 = (-64^(1/2)-8)/(-6*2)

t_1 = 0 or t_1 = 4/3

t_1 = 0

y^-1+0 = 0

y^-1 = 0

1*y^-1 = 0 // : 1

y^-1 = 0

y naleu017Cy do O

t_1 = 4/3

y^-1-4/3 = 0

1*y^-1 = 4/3 // : 1

y^-1 = 4/3

-1 < 0

1/(y^1) = 4/3 // * y^1

1 = 4/3*y^1 // : 4/3

3/4 = y^1

y = 3/4

y = 3/4

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