(28x^8-24x^6)/(4x)

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Solution for (28x^8-24x^6)/(4x) equation:


D( x )

4*x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

(28*x^8-(24*x^6))/(4*x) = 0

(28*x^8-24*x^6)/(4*x) = 0

28*x^8-24*x^6 = 0

4*x^6*(7*x^2-6) = 0

7*x^2 = 6 // : 7

x^2 = 6/7

x^2 = 6/7 // ^ 1/2

abs(x) = (6/7)^(1/2)

x = (6/7)^(1/2) or x = -(6/7)^(1/2)

4*x^6*(x-(6/7)^(1/2))*(x+(6/7)^(1/2)) = 0

(4*x^6*(x-(6/7)^(1/2))*(x+(6/7)^(1/2)))/(4*x) = 0

( 4*x^6 )

4*x^6 = 0 // : 4

x^6 = 0

x = 0

( x+(6/7)^(1/2) )

x+(6/7)^(1/2) = 0 // - (6/7)^(1/2)

x = -(6/7)^(1/2)

( x-(6/7)^(1/2) )

x-(6/7)^(1/2) = 0 // + (6/7)^(1/2)

x = (6/7)^(1/2)

x in { 0}

x in { -(6/7)^(1/2), (6/7)^(1/2) }

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