(8v^7-36v^5)/(9v^5)

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Solution for (8v^7-36v^5)/(9v^5) equation: 


D( v )

9*v^5 = 0

9*v^5 = 0

9*v^5 = 0

9*v^5 = 0 // : 9

v^5 = 0

v = 0

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

(8*v^7-(36*v^5))/(9*v^5) = 0

(8*v^7-36*v^5)/(9*v^5) = 0

8*v^7-36*v^5 = 0

4*v^5*(2*v^2-9) = 0

2*v^2 = 9 // : 2

v^2 = 9/2

v^2 = 9/2 // ^ 1/2

abs(v) = (9/2)^(1/2)

v = (9/2)^(1/2) or v = -(9/2)^(1/2)

4*v^5*(v-(9/2)^(1/2))*(v+(9/2)^(1/2)) = 0

(4*v^5*(v-(9/2)^(1/2))*(v+(9/2)^(1/2)))/(9*v^5) = 0

( 4*v^5 )

4*v^5 = 0 // : 4

v^5 = 0

v = 0

( v+(9/2)^(1/2) )

v+(9/2)^(1/2) = 0 // - (9/2)^(1/2)

v = -(9/2)^(1/2)

( v-(9/2)^(1/2) )

v-(9/2)^(1/2) = 0 // + (9/2)^(1/2)

v = (9/2)^(1/2)

v in { 0} 

v in { -(9/2)^(1/2), (9/2)^(1/2) }

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