5y-30/21/y-6/9

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Solution for 5y-30/21/y-6/9 equation: 


D( y )

y = 0

y = 0

y = 0

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

5*y-((30/21)/y)-(6/9) = 0

5*y+(-10/7)*y^-1-2/3 = 0

5*y^1-10/7*y^-1-2/3*y^0 = 0

(5*y^2-2/3*y^1-10/7*y^0)/(y^1) = 0 // * y^2

y^1*(5*y^2-2/3*y^1-10/7*y^0) = 0

y^1

5*y^2+(-2/3)*y-10/7 = 0

5*y^2+(-2/3)*y-10/7 = 0

DELTA = (-2/3)^2-(4*5*(-10/7))

DELTA = 1828/63

DELTA > 0

y = ((1828/63)^(1/2)-(-2/3))/(2*5) or y = (-(-2/3)-(1828/63)^(1/2))/(2*5)

y = ((1828/63)^(1/2)+2/3)/10 or y = (2/3-(1828/63)^(1/2))/10

y in { (2/3-(1828/63)^(1/2))/10, ((1828/63)^(1/2)+2/3)/10} 

y in { (2/3-(1828/63)^(1/2))/10, ((1828/63)^(1/2)+2/3)/10 }

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