(x^5-5x)/5

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Solution for (x^5-5x)/5 equation:


x in (-oo:+oo)

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

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

x^5-5*x = 0

x*(x^4-5) = 0

1*x^4 = 5 // : 1

x^4 = 5

x^4 = 5 // ^ 1/4

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

x = 5^(1/4) or x = -5^(1/4)

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

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

( x+5^(1/4) )

x+5^(1/4) = 0 // - 5^(1/4)

x = -5^(1/4)

( x-5^(1/4) )

x-5^(1/4) = 0 // + 5^(1/4)

x = 5^(1/4)

( x )

x = 0

x in { -5^(1/4), 5^(1/4), 0 }

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