8x^-2/5(x11/5-3x)

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Solution for 8x^-2/5(x11/5-3x) equation:


D( x )

x = 0

x = 0

x = 0

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

((8*x^-2)/5)*((x^11)/5-(3*x)) = 0

((8*x^-2)/5)*((x^11)/5-3*x) = 0

8/5*x^-2*(1/5*x^11-3*x) = 0

1/5*x^11-3*x = 0

x*(1/5*x^10-3) = 0

1/5*x^10 = 3 // : 1/5

x^10 = 15

x^10 = 15 // ^ 1/10

abs(x) = 15^(1/10)

x = 15^(1/10) or x = -15^(1/10)

x*(x-15^(1/10))*(x+15^(1/10)) = 0

8/5*x^-2*x*(x-15^(1/10))*(x+15^(1/10)) = 0

( 8/5*x^-2 )

8/5*x^-2 = 0 // : 8/5

x^-2 = 0

x należy do O

( x+15^(1/10) )

x+15^(1/10) = 0 // - 15^(1/10)

x = -15^(1/10)

( x-15^(1/10) )

x-15^(1/10) = 0 // + 15^(1/10)

x = 15^(1/10)

( x )

x = 0

x in { 0}

x in { -15^(1/10), 15^(1/10) }

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