(4x/16-x^2)/(5x^4/4-x)

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Solution for (4x/16-x^2)/(5x^4/4-x) equation:


D( x )

(5*x^4)/4-x = 0

(5*x^4)/4-x = 0

(5*x^4)/4-x = 0

5/4*x^4-x = 0

x*(5/4*x^3-1) = 0

5/4*x^3 = 1 // : 5/4

x^3 = 4/5

x^3 = 4/5 // ^ 1/3

x = (4/5)^(1/3)

x = 0

x = 0

x in (-oo:0) U (0:(4/5)^(1/3)) U ((4/5)^(1/3):+oo)

((4*x)/16-x^2)/((5*x^4)/4-x) = 0

(1/4*x-x^2)/(5/4*x^4-x) = 0

1/4*x-x^2 = 0

x*(1/4-x) = 0

1/4-x = 0 // - 1/4

-x = -1/4 // * -1

x = 1/4

x*(x-1/4) = 0

5/4*x^4-x = 0

x*(5/4*x^3-1) = 0

5/4*x^3 = 1 // : 5/4

x^3 = 4/5

x^3 = 4/5 // ^ 1/3

x = (4/5)^(1/3)

x*(x-(4/5)^(1/3)) = 0

(x*(x-1/4))/(x*(x-(4/5)^(1/3))) = 0

( x-1/4 )

x-1/4 = 0 // + 1/4

x = 1/4

( x )

x = 0

x in { 0}

x = 1/4

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