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Eq := (1/24)*h^2*((1/16)*h^4*(-12*T/h^3+12/h^2)^5+(36*(7*h^8*lambda+3888*T^5-19440*T^4*h+38880*T^3*h^2-38880*T^2*h^3+19440*T*h^4-3888*h^5))/(7*h^11))

(1/24)*h^2*((1/16)*h^4*(-12*T/h^3+12/h^2)^5+(36/7)*(7*h^8*lambda+3888*T^5-19440*T^4*h+38880*T^3*h^2-38880*T^2*h^3+19440*T*h^4-3888*h^5)/h^11)

(1)

solve(Eq = 0, h)

RootOf(7*_Z^8*lambda+864*T^5-4320*T^4*_Z+8640*T^3*_Z^2-8640*T^2*_Z^3+4320*T*_Z^4-864*_Z^5)

(2)

f := subs({T = 100, lambda = 100}, Eq)

(1/24)*h^2*((1/16)*h^4*(-1200/h^3+12/h^2)^5+(36/7)*(700*h^8-3888*h^5+1944000*h^4-388800000*h^3+38880000000*h^2-1944000000000*h+38880000000000)/h^11)

(3)

plot(f, h)

 

NULL


 

Download Solution_of_an_Equation.mw

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