(3/(4y^2))-(6/(5y))

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Solution for (3/(4y^2))-(6/(5y)) equation:


D( y )

4*y^2 = 0

5*y = 0

4*y^2 = 0

4*y^2 = 0

4*y^2 = 0 // : 4

y^2 = 0

y = 0

5*y = 0

5*y = 0

5*y = 0 // : 5

y = 0

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

3/(4*y^2)-(6/(5*y)) = 0

(-6/5)*y^-1+3/(4*y^2) = 0

3/4*y^-2-6/5*y^-1 = 0

t_1 = y^-1

3/4*t_1^2-6/5*t_1^1 = 0

3/4*t_1^2-6/5*t_1 = 0

DELTA = (-6/5)^2-(0*3/4*4)

DELTA = 36/25

DELTA > 0

t_1 = ((36/25)^(1/2)+6/5)/(3/4*2) or t_1 = (6/5-(36/25)^(1/2))/(3/4*2)

t_1 = 8/5 or t_1 = 0

t_1 = 0

y^-1+0 = 0

y^-1 = 0

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

y^-1 = 0

y należy do O

t_1 = 8/5

y^-1-8/5 = 0

1*y^-1 = 8/5 // : 1

y^-1 = 8/5

-1 < 0

1/(y^1) = 8/5 // * y^1

1 = 8/5*y^1 // : 8/5

5/8 = y^1

y = 5/8

y = 5/8

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